Global Information Lookup Global Information

Adiabatic theorem information


The adiabatic theorem is a concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928), was stated as follows:

A physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is a gap between the eigenvalue and the rest of the Hamiltonian's spectrum.[1]

In simpler terms, a quantum mechanical system subjected to gradually changing external conditions adapts its functional form, but when subjected to rapidly varying conditions there is insufficient time for the functional form to adapt, so the spatial probability density remains unchanged.

  1. ^ M. Born and V. A. Fock (1928). "Beweis des Adiabatensatzes". Zeitschrift für Physik A. 51 (3–4): 165–180. Bibcode:1928ZPhy...51..165B. doi:10.1007/BF01343193. S2CID 122149514.

and 19 Related for: Adiabatic theorem information

Request time (Page generated in 0.8074 seconds.)

Adiabatic theorem

Last Update:

The adiabatic theorem is a concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928), was stated as follows: A physical...

Word Count : 4594

Adiabatic quantum computation

Last Update:

Adiabatic quantum computation (AQC) is a form of quantum computing which relies on the adiabatic theorem to perform calculations and is closely related...

Word Count : 2010

Adiabatic process

Last Update:

An adiabatic process (Greek: adiábatos, "impassable") is a type of thermodynamic process that occurs without transferring heat or mass between the thermodynamic...

Word Count : 5883

Quantum computing

Last Update:

The adiabatic theorem states that if the evolution is slow enough the system will stay in its ground state at all times through the process. Adiabatic optimization...

Word Count : 12476

List of adiabatic concepts

Last Update:

Adiabatic invariant Born–Oppenheimer approximation Adiabatic process Adiabatic ionization Adiabatic index Adiabatic accessibility Adiabatic theorem Adiabatic...

Word Count : 114

Berry connection and curvature

Last Update:

quantum mechanics, the Berry phase arises in a cyclic adiabatic evolution. The quantum adiabatic theorem applies to a system whose Hamiltonian H ( R ) {\displaystyle...

Word Count : 2556

List of theorems

Last Update:

convergence theorem (mathematical series) Acyclic models theorem (algebraic topology) Addition theorem (algebraic geometry) Adiabatic theorem (physics)...

Word Count : 5996

Second law of thermodynamics

Last Update:

energy eigenstates of the system will depend on x. According to the adiabatic theorem of quantum mechanics, in the limit of an infinitely slow change of...

Word Count : 15498

Invariance theorem

Last Update:

to Kolmogorov complexity A result in classical mechanics for adiabatic invariants A theorem of algorithmic probability Invariant (mathematics) This disambiguation...

Word Count : 65

Avoided crossing

Last Update:

Christopher Longuet-Higgins Conical intersection Vibronic coupling Adiabatic theorem Bond hardening Bond softening Landau–Zener formula Level repulsion...

Word Count : 2641

AQC

Last Update:

AQC may refer to: Adiabatic quantum computation, a quantum computing model that relies on the adiabatic theorem to do calculations Analytical quality...

Word Count : 81

Max Born

Last Update:

condition Born–Oppenheimer approximation BBGKY hierarchy Cauchy–Born rule Adiabatic theorem Canonical commutation relation Spouse Hedwig Ehrenberg ​ (m. 1913)​...

Word Count : 7358

Heat capacity ratio

Last Update:

physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio...

Word Count : 2318

Geometric phase

Last Update:

observable property of the system. By reviewing the proof of the adiabatic theorem given by Max Born and Vladimir Fock, in Zeitschrift für Physik 51...

Word Count : 4014

Carnot heat engine

Last Update:

= QH / TH from the high temperature reservoir. Isentropic (reversible adiabatic) expansion of the gas (isentropic work output). For this step (B to C)...

Word Count : 3370

Adiabatic invariant

Last Update:

reversible adiabatic process is an adiabatic process that occurs slowly compared to the time to reach equilibrium. In a reversible adiabatic process, the...

Word Count : 3423

Fundamental thermodynamic relation

Last Update:

energy eigenstates of the system will depend on x. According to the adiabatic theorem of quantum mechanics, in the limit of an infinitely slow change of...

Word Count : 2661

First law of thermodynamics

Last Update:

such non-adiabatic, unaccompanied transfer of energy. It rests on the primitive notion of walls, especially adiabatic walls and non-adiabatic walls, defined...

Word Count : 13973

Shortcuts to adiabaticity

Last Update:

Shortcuts to adiabaticity (STA) are fast control protocols to drive the dynamics of system without relying on the adiabatic theorem. The concept of STA...

Word Count : 936

PDF Search Engine © AllGlobal.net