Quantum Non-equilibrium
Quantum non-equilibrium is a concept within stochastic formulations of the De Broglie–Bohm theory of quantum physics. Overview In quantum mechanics, the Born rule states that the probability density of finding a system in a given state, when measured, is proportional to the square of the amplitude of the system's wavefunction at that state, and it constitutes one of the fundamental axioms of the theory. This is not the case for the De Broglie–Bohm theory, where the Born rule is not a basic law. Rather, in this theory the link between the probability density and the wave function has the status of a hypothesis, called the quantum equilibrium hypothesis, which is additional to the basic principles governing the wave function, the dynamics of the quantum particles and the Schrödinger equation. (For mathematical details, refer to the derivation by Peter R. Holland.) Accordingly, quantum non-equilibrium describes a state of affairs where the Born rule is not fulfilled; that is, ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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De Broglie–Bohm Theory
The de Broglie–Bohm theory is an interpretation of quantum mechanics which postulates that, in addition to the wavefunction, an actual configuration of particles exists, even when unobserved. The evolution over time of the configuration of all particles is defined by a guiding equation. The evolution of the wave function over time is given by the Schrödinger equation. The theory is named after Louis de Broglie (1892–1987) and David Bohm (1917–1992). The theory is deterministic and explicitly nonlocal: the velocity of any one particle depends on the value of the guiding equation, which depends on the configuration of all the particles under consideration. Measurements are a particular case of quantum processes described by the theory—for which it yields the same quantum predictions as other interpretations of quantum mechanics. The theory does not have a " measurement problem", due to the fact that the particles have a definite configuration at all times. The Born ru ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Quantum Chemistry
Quantum chemistry, also called molecular quantum mechanics, is a branch of physical chemistry focused on the application of quantum mechanics to chemical systems, particularly towards the quantum-mechanical calculation of electronic contributions to physical and chemical properties of Molecule, molecules, Material, materials, and solutions at the atomic level. These calculations include systematically applied approximations intended to make calculations computationally feasible while still capturing as much information about important contributions to the computed Wave function, wave functions as well as to observable properties such as structures, spectra, and Thermodynamics, thermodynamic properties. Quantum chemistry is also concerned with the computation of quantum effects on molecular dynamics and chemical kinetics. Chemists rely heavily on spectroscopy through which information regarding the Quantization (physics), quantization of energy on a molecular scale can be obtained ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Speed Of Light
The speed of light in vacuum, commonly denoted , is a universal physical constant exactly equal to ). It is exact because, by international agreement, a metre is defined as the length of the path travelled by light in vacuum during a time interval of second. The speed of light is invariant (physics), the same for all observers, no matter their relative velocity. It is the upper limit for the speed at which Information#Physics_and_determinacy, information, matter, or energy can travel through Space#Relativity, space. All forms of electromagnetic radiation, including visible light, travel at the speed of light. For many practical purposes, light and other electromagnetic waves will appear to propagate instantaneously, but for long distances and sensitive measurements, their finite speed has noticeable effects. Much starlight viewed on Earth is from the distant past, allowing humans to study the history of the universe by viewing distant objects. When Data communication, comm ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Nonlocal Aharonov–Bohm Effect
Nonlocal may refer to: * Action at a distance, direct interaction of physical objects that are not in proximity * Conjugated system (or nonlocalized bond), in chemistry, a conjugated system is a system of connected p-orbitals with delocalized electrons in compounds with alternating single and multiple bonds, which in general may lower the overall energy of the molecule and increase stability * Continuation, Nonlocal goto, an abstract representation of the control state of a computer program * Nonlocal Lagrangian, in field theory, a type of functional \mathcal L\phi(x) which contains terms which are nonlocal in the fields i.e. which are not polynomials or functions of the fields or their derivatives evaluated at a single point in the space of dynamical parameters (e.g. space-time) ** Other nonlocal relationships in physics, such as Pippard, Brian, Pippard's nonlocal generalisation of the London equations, Londons' equations for superconductivity * Non-local means, an algorithm in ima ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mike Towler
Michael D. Towler (also referred to as ''Mike Towler'', complete name ''Michael David Towler'') is a theoretical physicist associated with the Cavendish Laboratory of the University of Cambridge and formerly research associate at University College, London and College Lecturer at Emmanuel College, Cambridge. He created and owns the ''Towler Institute'' in Vallico di Sotto in Tuscany, Italy. Biography Education, career and personal life Towler obtained an undergraduate degree from Bristol University in 1991, as well as his Ph.D. in 1994. From 1994 to 1996, he was research fellow at the University of Torino, Italy. From 1997 onwards, he has been closely associated with the Theory of Condensed Matter group (TCM) of Cambridge University's Cavendish Laboratory. Initially, until 2000, he was postdoctoral research associate, subsequently held a Lloyd's Fellowship, and from 2002 to 2010 he was Royal Society research fellow of the Cavendish Laboratory. Additionally, from 2002 to 2012 ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Detlef Dürr
Detlef is a given name of German language, German origin. It is also spelled Detlev. People with this name Notable people with this name include: *Detlef Bothe (canoeist) (born 1957), East German sprint canoeist *Detlef Bothe (actor) (born 1965), German actor *Detlef Bruckhoff (born 1958), retired German footballer *Detlef Enge (born 1952), former East German football player *Detlef Franke (1952–2007), German Egyptologist *Detlef Gerstenberg (1957–1993), East German hammer thrower *Detlef Gromoll (1938–2008), German mathematician *Detlef Grumbach (born 1955), German author and journalist *Detlef Hofmann (born 1963), German sprint canoeist *Detlef Kästner (born 1958), East German boxer *Detlef Kübeck (born 1956), retired East German sprinter *Detlef Kirchhoff (born 1967), German rower *Detlef Kraus (1919–2008), German pianist *Detlef Laugwitz (1932–2000), German mathematician *Detlef Lewe (1939–2008), West German sprint canoeist *Detlef Lienau (1818–1887), German ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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James T
James may refer to: People * James (given name) * James (surname) * James (musician), aka Faruq Mahfuz Anam James, (born 1964), Bollywood musician * James, brother of Jesus * King James (other), various kings named James * Prince James (other) * Saint James (other) Places Canada * James Bay, a large body of water * James, Ontario United Kingdom * James College, a college of the University of York United States * James, Georgia, an unincorporated community * James, Iowa, an unincorporated community * James City, North Carolina * James City County, Virginia ** James City (Virginia Company) ** James City Shire * James City, Pennsylvania * St. James City, Florida Film and television * ''James'' (2005 film), a Bollywood film * ''James'' (2008 film), an Irish short film * ''James'' (2022 film), an Indian Kannada-language film * "James", a television episode of ''Adventure Time'' Music * James (band), a band from Manchester ** ''James'', ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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H-theorem
In classical statistical mechanics, the ''H''-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency of the quantity ''H'' (defined below) to decrease in a nearly-ideal gas of molecules.L. Boltzmann,Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen." Sitzungsberichte Akademie der Wissenschaften 66 (1872): 275-370. English translation: As this quantity ''H'' was meant to represent the entropy of thermodynamics, the ''H''-theorem was an early demonstration of the power of statistical mechanics as it claimed to derive the second law of thermodynamics—a statement about fundamentally irreversible processes—from reversible microscopic mechanics. It is thought to prove the second law of thermodynamics, albeit under the assumption of low-entropy initial conditions. The ''H''-theorem is a natural consequence of the kinetic equation derived by Boltzmann that has come to be known as Boltzmann's equation. The ''H''-theorem has led to considerable discuss ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Relaxation (physics)
In the physical sciences, relaxation usually means the return of a perturbed system into equilibrium. Each relaxation process can be categorized by a relaxation time τ. The simplest theoretical description of relaxation as function of time ''t'' is an exponential law ( exponential decay). In simple linear systems Mechanics: Damped unforced oscillator Let the homogeneous differential equation: :m\frac+\gamma\frac+ky=0 model damped unforced oscillations of a weight on a spring. The displacement will then be of the form y(t) = A e^ \cos(\mu t - \delta). The constant T (=2m/\gamma) is called the relaxation time of the system and the constant μ is the quasi-frequency. Electronics: RC circuit In an RC circuit containing a charged capacitor and a resistor, the voltage decays exponentially: : V(t)=V_0 e^ \ , The constant \tau = RC\ is called the ''relaxation time'' or RC time constant of the circuit. A nonlinear oscillator circuit which generates a repeating waveform ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Configuration Space (physics)
In classical mechanics, the parameters that define the configuration of a system are called '' generalized coordinates,'' and the space defined by these coordinates is called the configuration space of the physical system. It is often the case that these parameters satisfy mathematical constraints, such that the set of actual configurations of the system is a manifold in the space of generalized coordinates. This manifold is called the configuration manifold of the system. Notice that this is a notion of "unrestricted" configuration space, i.e. in which different point particles may occupy the same position. In mathematics, in particular in topology, a notion of "restricted" configuration space is mostly used, in which the diagonals, representing "colliding" particles, are removed. Examples A particle in 3D space The position of a single particle moving in ordinary Euclidean 3-space is defined by the vector q=(x,y,z), and therefore its ''configuration space'' is Q=\mathbb^3. ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Pilot Wave Theory
In theoretical physics, the pilot wave theory, also known as Bohmian mechanics, was the first known example of a hidden-variable theory, presented by Louis de Broglie in 1927. Its more modern version, the de Broglie–Bohm theory, interprets quantum mechanics as a deterministic theory, and avoids issues such as wave function collapse, and the paradox of Schrödinger's cat by being inherently nonlocal. The de Broglie–Bohm pilot wave theory is one of several interpretations of (non-relativistic) quantum mechanics. History Louis de Broglie's early results on the pilot wave theory were presented in his thesis (1924) in the context of atomic orbitals where the waves are stationary. Early attempts to develop a general formulation for the dynamics of these guiding waves in terms of a relativistic wave equation were unsuccessful until in 1926 Schrödinger developed his non-relativistic wave equation. He further suggested that since the equation described waves in configuration s ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Sheldon Goldstein
Sheldon Goldstein (born October 24, 1947, in Augusta, Georgia) is an American theoretical physicist. He introduced the term " Bohmian mechanics". Biography Goldstein graduated from Yeshiva University with a B.A. in 1969, a B.S. in 1971, and a Ph.D. in physics in 1973. His Ph.D. thesis, supervised by Joel Lebowitz, is entitled ''Ergodic Theory and Infinite Systems'' Since 1977 Goldstein has been a professor at Rutgers University. His research deals with the foundations of quantum mechanics and, especially, theoretical developments of De Broglie–Bohm theory. His collaborators include Joel Lebowitz and Detlef Dürr. In a 1981 paper, Goldstein and Oliver Penrose described a new method of defining nonequilibrium entropy in statistical mechanics. Goldstein contributed the article ''Bohmian Mechanics'' to the ''Stanford Encyclopedia of Philosophy''. For two academic years from 1973 to 1975, Goldstein was at the Institute for Advanced Study. He is a Fellow of the American Association ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |