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Interpretation of quantum mechanics
Stochastic quantum mechanics is a framework for describing the dynamics of particles that are subjected to intrinsic random processes as well as various
Stochastic_quantum_mechanics
American mathematician (1932–2014)
variable theory Influence of non-standard analysis Stochastic process Stochastic quantum mechanics Stochastic electrodynamics Edward Nelson (2000). "Mathematics
Edward_Nelson
Variation of classical electrodynamics
forces of nature Stochastic quantum mechanics – Interpretation of quantum mechanics Zero-point energy – Lowest possible energy of a quantum system or field
Stochastic_electrodynamics
Fluctuation of spacetime on very small scales
principle Loop quantum gravity Lorentzian wormhole Planck time Stochastic quantum mechanics String theory Wormhole Virtual black hole Quantum Foam, Don Lincoln
Quantum_foam
Area of physical and philosophical debate
fundamental questions as whether quantum mechanics is deterministic or stochastic, local or nonlocal, which elements of quantum mechanics can be considered real
Interpretations of quantum mechanics
Interpretations_of_quantum_mechanics
Branch of physics seeking to explain chaotic dynamical systems in terms of quantum theory
theory. The primary question that quantum chaos seeks to answer is: "What is the relationship between quantum mechanics and classical chaos?" The correspondence
Quantum_chaos
Description of gravity using discrete values
Quantum gravity (QG) is a field of theoretical physics that seeks unification of the theory of gravity with the principles of quantum mechanics. It deals
Quantum_gravity
In theoretical physics, stochastic quantization is a method for modelling quantum mechanics, introduced by Edward Nelson in 1966, and streamlined by Giorgio
Stochastic_quantization
Physics of many interacting particles
of statistical mechanics to this day. In physics, two types of mechanics are usually examined: classical mechanics and quantum mechanics. For both types
Statistical_mechanics
Collection of random variables
In probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random variables
Stochastic_process
Study of forces and their effect on motion
classical mechanics, along with statics and kinematics. The fundamental principle of dynamics is linked to Newton's second law. In classical mechanics, rigid
Dynamics_(mechanics)
Interpretation of quantum mechanics
measurement problem in quantum mechanics. As with other interpretations of quantum mechanics, they are possible explanations of why and how quantum measurements
Objective-collapse_theory
Fringe hypothesis
The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections
Quantum_mind
Random change in the energy inside a volume
microwave background False vacuum Hawking radiation Quantum annealing Quantum foam Stochastic quantum mechanics Vacuum energy Vacuum polarization Virtual black
Quantum_fluctuation
Signal boosting phenomenon using white noise
attributable to stochastic resonance have also been observed in other types of physical systems, such as chemical reactions, quantum systems, and industrial
Stochastic_resonance
Partial differential equations with random force terms and coefficients
ordinary stochastic differential equations generalize ordinary differential equations. They have relevance to quantum field theory, statistical mechanics, and
Stochastic partial differential equation
Stochastic_partial_differential_equation
Quantum physics-based metaheuristic for optimization problems
The whole process can be simulated in a computer using quantum Monte Carlo (or other stochastic technique), and thus obtain a heuristic algorithm for finding
Quantum_annealing
Formulation of quantum mechanics
The path-integral formulation of quantum mechanics generalizes the action principle of classical mechanics. It replaces the classical notion of a single
Path-integral_formulation
Set of mathematical concepts in quantum gravity
ISBN 978-0-07-163641-4 Quantum Mechanics, E. Abers, Pearson Ed., Addison Wesley, Prentice Hall Inc, 2004, ISBN 9780131461000 Quantum Mechanics Demystified, D
Quantum_geometry
Theory of logic to account for observations from quantum theory
experimental tests in classical mechanics forms a Boolean algebra, but the structure of experimental tests in quantum mechanics forms a much more complicated
Quantum_logic
Mathematical approach to quantum physics
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Field of statistical mechanics
Stochastic thermodynamics is an emergent field of research in statistical mechanics that uses stochastic variables to better understand the non-equilibrium
Stochastic_thermodynamics
Interaction of a quantum system with a classical observer
different interpretations of quantum mechanics differ in how they address what is known as the measurement problem. In quantum mechanics, each physical system
Measurement in quantum mechanics
Measurement_in_quantum_mechanics
Loss of quantum coherence
how quantum systems convert to systems that can be explained by classical mechanics. Beginning out of attempts to extend the understanding of quantum mechanics
Quantum_decoherence
Czech-British physicist
statistics, and those according to quantum mechanics"; a precursor to the later development of stochastic quantum mechanics. He was born in Prague (then Austria-Hungary)
Reinhold_Furth
Concept in quantum mechanics
Some interpretations of quantum mechanics posit a central role for an observer of a quantum phenomenon. The quantum mechanical observer is tied to the
Observer_(quantum_physics)
Notions in the de Broglie-Bohm theory
Quantum non-equilibrium is a concept within stochastic formulations of the De Broglie–Bohm theory of quantum physics. In quantum mechanics, the Born rule
Quantum_non-equilibrium
Statistical mechanics of quantum-mechanical systems
Quantum statistical mechanics is statistical mechanics applied to quantum mechanical systems. It relies on constructing density matrices that describe
Quantum_statistical_mechanics
Interpretation of quantum mechanics
The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wave function is objectively real, and
Many-worlds_interpretation
Interpretation of quantum mechanics
decoherence Interpretations of quantum mechanics Orchestrated objective reduction Schrödinger–Newton equation Stochastic quantum mechanics Relevant books by Roger
Penrose_interpretation
interpretations of quantum mechanics. They vary in how many physicists accept or reject them. An interpretation of quantum mechanics is a conceptual scheme
Minority interpretations of quantum mechanics
Minority_interpretations_of_quantum_mechanics
This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical
List of textbooks on classical mechanics and quantum mechanics
List_of_textbooks_on_classical_mechanics_and_quantum_mechanics
Class of transformations that quantum systems and processes can undergo
In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad
Quantum_operation
Interpretation of quantum mechanics
Copenhagen interpretation is a collection of views about the meaning of quantum mechanics, stemming from the work of Niels Bohr, Werner Heisenberg, Max Born
Copenhagen_interpretation
Interpretation of quantum mechanics
as the pilot wave theory, Bohmian mechanics, and the causal interpretation, is an interpretation of quantum mechanics that postulates that, in addition
De_Broglie–Bohm_theory
Quantum effect of uncertainty
Quantum noise is any noise arising from quantum mechanical phenomena such as field quantization or the uncertainty principle. Quantum noise differs from
Quantum_noise
Overview of mechanics based on the least action principle
relativistic mechanics and general relativity, and with some modifications, quantum mechanics and quantum field theory. Analytical mechanics is used widely
Analytical_mechanics
Theoretical problem in quantum physics
In quantum mechanics, the measurement problem is the problem of definite outcomes: quantum systems have superpositions but quantum measurements only give
Measurement_problem
Branch of applied mathematics
other areas of physics, such as statistical mechanics, continuum mechanics, classical field theory, and quantum field theory. Moreover, they have provided
Mathematical_physics
Physics phenomenon
accepted formulation of quantum mechanics must therefore be incomplete. Later, the counterintuitive predictions of quantum mechanics were verified in tests
Quantum_entanglement
Phenomenon in quantum systems
In quantum mechanics, quantum scarring is a phenomenon where the eigenstates of a classically chaotic quantum system have enhanced probability density
Quantum_scar
Austrian mathematician and theoretical physicist (1844–1906)
a fundamental postulate in quantum mechanics, leading to groundbreaking theories like quantum electrodynamics and quantum field theory. Thus, Boltzmann's
Ludwig_Boltzmann
Differential equations involving stochastic processes
Parisi–Sourlas stochastic quantization procedure, leading to a N=2 supersymmetric model closely related to supersymmetric quantum mechanics. From the physical
Stochastic differential equation
Stochastic_differential_equation
Systematic procedure of turning a classical theory into a quantum one
newer understanding known as quantum mechanics. It is a procedure for constructing quantum mechanics from classical mechanics. A generalization involving
Quantization_(physics)
Formulation of classical mechanics using momenta
and Poisson structures) and serves as a link between classical and quantum mechanics. Let ( M , L ) {\displaystyle (M,{\mathcal {L}})} be a mechanical
Hamiltonian_mechanics
Computer hardware technology that uses quantum mechanics
A quantum computer is a computer that represents and processes information using quantum states. Quantum computations exploit phenomena such as superposition
Quantum_computing
Dissipation in quantum systems
dissipation from the framework of quantum mechanics. It shares many features with the subjects of quantum decoherence and quantum theory of measurement. The
Quantum_dissipation
Quantum measurement phenomenon
In quantum mechanics, frequent measurements cause the quantum Zeno effect, a reduction in transitions away from the system's initial state, slowing a system's
Quantum_Zeno_effect
equation Knizhnik–Zamolodchikov equations in quantum field theory Nonlinear Schrödinger equation in quantum mechanics Schrödinger equation Schwinger–Dyson equation
List of named differential equations
List_of_named_differential_equations
Application of physics to the study of economics
the same equilibrium measure (Gibbs measure from statistical mechanics) as a stochastic dynamical equation which represents noisy decisions, both of which
Econophysics
Canadian physicist and mathematician
ISBN 0-12-566050-2 Stochastic Quantum Mechanics and Quantum Spacetime, Kluwer 1984, ISBN 90-277-1617-X Quantum Geometry, Kluwer 1992 Principles of Quantum General
Eduard_Prugovečki
Pilot wave Quantum logic relative-state interpretation relational quantum mechanics stochastic interpretation transactional interpretation quantum Darwinism
Glossary of quantum philosophy
Glossary_of_quantum_philosophy
Concept in quantum mathematics
eigenstate of the measured operator unchanged. Measurements in quantum mechanics are stochastic by nature, which means that circuits with the same exact structure
Quantum_random_circuits
Basic circuit in quantum computing
is sufficient for quantum computation. If this actually is a stochastic effect depends on which interpretation of quantum mechanics that is correct (and
Quantum_logic_gate
Hungarian physicist (1917–1977)
Hungarian physicist who was the first to propose a stochastic interpretation of quantum mechanics. Fényes, I. (1946). "A Deduction of Schrödinger Equation"
Imre_Fényes
Belief that events are determined by prior ones
stochastic model even though the underlying system is governed by deterministic equations. Since the beginning of the 20th century, quantum mechanics—the
Determinism
Swiss mathematician
forms and associated stochastic processes (with applications particularly in quantum mechanics, statistical mechanics and quantum field theory). He also
Sergio_Albeverio
Description of a quantum-mechanical system
of a non-relativistic quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. It is named after Erwin
Schrödinger_equation
Phase of a cycle
In classical and quantum mechanics, the geometric phase (also known as the Pancharatnam–Berry phase, Pancharatnam phase, or Berry phase) is a phase difference
Geometric_phase
Quantum Mechanics in Neural Networks
Quantum neural networks (QNN) are computational neural network models which are based on the principles of quantum mechanics. The first ideas on quantum
Quantum_neural_network
Italian physicist (born 1948)
theoretical physicist, whose research has focused on quantum field theory, statistical mechanics and complex systems. His best known contributions are
Giorgio_Parisi
Quantum variations of random walks
the randomness arises due to stochastic transitions between states, in quantum walks randomness arises through: Quantum superposition of states, Non-random
Quantum_walk
Correlation as a function of distance
econometrics, and statistical mechanics differ only in the particular stochastic processes they are applied to. In quantum field theory there are correlation
Correlation_function
Swiss physicist (born 1950)
motor concept, stochastic resonance and dissipative systems (classical and quantum mechanical). Other topics include, driven quantum tunneling, such
Peter_Hänggi
Mexican physicist and professor
a Mexican physicist and professor. Her work specializes in quantum mechanics, stochastic theory, electrodynamics, and biophysics of light. She is also
Ana_María_Cetto
Interpretation of quantum mechanics
philosophy of physics, QBism (pronounced "cubism") is an interpretation of quantum mechanics that takes an agent's actions and experiences as the central concerns
QBism
Interpretation of quantum mechanics
The many-minds interpretation of quantum mechanics extends the many-worlds interpretation by proposing that the distinction between worlds should be made
Many-minds_interpretation
Quantum mechanics with supersymmetry
supersymmetric quantum mechanics is an area of research where supersymmetry are applied to the simpler setting of plain quantum mechanics, rather than quantum field
Supersymmetric quantum mechanics
Supersymmetric_quantum_mechanics
Value for the flow of probability in quantum mechanics
In quantum mechanics, the probability current (sometimes called probability flux) is a mathematical quantity describing the flow of probability. Specifically
Probability_current
other fields. Moyal helped establish the phase space formulation of quantum mechanics in 1949 by bringing together the ideas of Hermann Weyl, John von Neumann
José_Enrique_Moyal
Property of magnitude or multitude
Reynolds number in fluid dynamics, the fine-structure constant in quantum mechanics, and the Lorentz factor in relativity. In chemistry, state properties
Quantity
Formulation of classical mechanics
problems in mechanics, and it had crucial influence on other branches of physics, including relativity and quantum field theory. Lagrangian mechanics describes
Lagrangian_mechanics
Dutch theoretical physicist (1921–2013)
interpretations of quantum mechanics. Some of his views on this subject were published in his article "The scandal of quantum mechanics". He disclosed his
Nico_van_Kampen
Dutch theoretical physicist
Markov stochastic processes including a critical point (see also ). At about the same time Dekker wrote his monograph 'Classical and quantum mechanics of
Hans_Dekker
Soviet mathematician and theoretical physicist (1909–1992)
known for his significant contributions to quantum field theory, classical and quantum statistical mechanics, and the theory of dynamical systems; he was
Nikolay_Bogolyubov
Randomly determined process
Stochasticity is the property of being well-described by a random probability distribution. Stochasticity and randomness are technically distinct concepts:
Stochastic
crossroads of biophysics, classical mechanics, solid-state physics, statistical mechanics, materials science, and quantum chemistry. As an area of nanoscience
Nanomechanics
French mathematical physicist
is a French mathematical physicist, specializing in statistical mechanics, stochastic processes, and chaos theory. In 1978, Collet received a doctorate
Pierre_Collet_(physicist)
Symmetry between bosons and fermions
physics, such as quantum mechanics, statistical mechanics, quantum field theory, condensed matter physics, nuclear physics, optics, stochastic dynamics, astrophysics
Supersymmetry
stochastic vector, since the product of any two stochastic matrices is a stochastic matrix, and the product of a stochastic vector and a stochastic matrix
Probabilistic_automaton
Indian theoretical physicist
theory, the mechanical behavior of solids, dynamical systems, stochastic processes, and quantum dynamics. He is an accomplished researcher who has made important
V._Balakrishnan_(physicist)
Context dependence in quantum measurements
Quantum contextuality is a feature of the phenomenology of quantum mechanics whereby measurements of quantum observables cannot simply be thought of as
Quantum_contextuality
Quantum field theory enjoying conformal symmetry
applications to condensed matter physics, statistical mechanics, quantum statistical mechanics, and string theory. Statistical and condensed matter systems
Conformal_field_theory
Theory of subatomic structure
framework of quantum mechanics. A quantum theory of gravity is needed in order to reconcile general relativity with the principles of quantum mechanics, but difficulties
String_theory
Quantum mechanical statistic
The quantum potential or quantum potentiality is a central concept of the de Broglie–Bohm formulation of quantum mechanics, introduced by David Bohm in
Quantum_potential
Indian statistician (1936–2023)
contributions to quantum stochastic calculus, some of Parthasarathy's research areas included quantum probability, foundations of quantum mechanics, information
K. R. Parthasarathy (probabilist)
K._R._Parthasarathy_(probabilist)
Academic discipline
future. Quantum tic-tac-toe: not a quantum game in the sense above, but a pedagogical tool based on metaphors for quantum mechanics Quantum pseudo-telepathy
Quantum_game_theory
Theory of stochastic partial differential equations
(see figure on the right). Stochastic quantization Supersymmetric quantum mechanics Topological quantum field theory Stochastic differential equation Dynamical
Supersymmetric theory of stochastic dynamics
Supersymmetric_theory_of_stochastic_dynamics
Concept in quantum information theory
statistical mechanics. II". Physical Review. 108 (2): 171–190. Bibcode:1957PhRv..108..171J. doi:10.1103/PhysRev.108.171. Gisin, N. (1989). “Stochastic quantum dynamics
Quantum_state_purification
Field theory involving topological effects in physics
and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological
Topological quantum field theory
Topological_quantum_field_theory
American physicist
additional terms such as the quantum potential term or stochastic terms, and to hidden variable theories. PVLAS Quantum Theory as an Emergent Phenomenon:
Stephen_L._Adler
Norwegian mathematician (1938–1988)
duality in relativistic quantum statistical mechanics by representing the basic correlation functions in terms of a certain stochastic process, now known as
Raphael_Høegh-Krohn
Philosophical concept
physical indeterminism (as proposed by various interpretations of quantum mechanics). Yet some philosophers have argued that indeterminism and unpredictability
Indeterminism
Interdisciplinary research area
Quantum machine learning (QML) is the study of quantum algorithms for machine learning. It often refers to quantum algorithms for machine learning tasks
Quantum_machine_learning
Quantum mechanical system that interacts with a quantum-mechanical environment
open quantum systems have proven powerful in fields such as quantum optics, quantum measurement theory, quantum statistical mechanics, quantum information
Open_quantum_system
Indian mathematician
works in scattering theory, spectral theory of Schrödinger operators, quantum stochastic calculus, noncommutative geometry, and, more broadly, in mathematical
Kalyan_Bidhan_Sinha
(physics) Bell's theorem (quantum mechanics) Bogoliubov–Parasyuk theorem (quantum field theory) Byers–Yang theorem (quantum mechanics) C-theorem (physics)
List_of_theorems
Markovian quantum master equation for density matrices (mixed states)
In quantum mechanics, the Franke–Gorini–Kossakowski–Sudarshan–Lindblad (FGKSL) master equation (named after Valentin Franke, Vittorio Gorini, Andrzej
Lindbladian
Relativistic wave equation in quantum mechanics
named. Within relativistic quantum mechanics, it suffers from numerous conceptual problems that are only resolved in quantum field theory, where the equation
Klein–Gordon_equation
British quantum physicist (1935–2025)
on implicate orders and for his work on algebraic descriptions of quantum mechanics in terms of underlying symplectic and orthogonal Clifford algebras
Basil_Hiley
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STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
Surname or Lastname
English
English : nickname from Middle English cointe, quointe ‘known’ (via Old French, from Latin cognitus ‘known’). The Middle English word was used in various senses, any of which could have given rise to the surname: ‘cunning’, ‘crafty’, ‘knowledgeable’ (especially about dress, hence ‘elegant’), ‘attractive’. The sense development continued with ‘odd’ or ‘unusual’, the normal meaning of the modern English word ‘quaint’.German and Dutch : variant of Quandt.
Boy/Male
Hindu, Indian
Calm
Surname or Lastname
English
English : from the personal name Horace, Latin Horatius, a Roman family name of unknown origin, associated chiefly with the name of the poet Quintus Horatius Flaccus (65–8 bc).
Boy/Male
Danish, Finnish, French, German, Latin, Shakespearean, Swedish
Born Fifth
Girl/Female
Biblical
Fourth.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of several places in France deriving their names from the Gallo-Roman personal name Quintus, meaning ‘fifth(-born)’ + the locative suffix -acum. The earliest bearers of the name in England were from Cuinchy in Pas-de-Calais, but other stocks may be from Quincy-sous-Sénard in Seine-et-Oise or Quincy-Voisins in Seine-et-Marne.The American Quincy family were established in MA by Edmund Quincy in 1633. Fifth in descent was Josiah Quincy (1744–75), a leading patriot, who was sent to England to argue the colonists’ case in 1774. His son Josiah (1772–1864) was a powerful opponent of slavery, president of Harvard, and mayor of Boston, a post also held by several of his descendants. The traditional pronunciation is “Quinzyâ€.
Boy/Male
Latin Biblical
Born fourth.
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Male
English
English surname transferred to forename use, derived from the Norman baronial name Cuinchy, a derivative of Roman Quintus, QUINCY means "fifth."
Biblical
fourth
STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
STOCHASTIC QUANTUM-MECHANICS
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