Classical systems and observables in quantum mechanics
نویسندگان
چکیده
منابع مشابه
Intrinsic and operational observables in quantum mechanics.
The concept of intrinsic and operational observables in quantum mechanics is introduced. In any realistic description of a quantum measurement that includes a macroscopic detecting device, it is possible to construct from the statistics of the recorded raw data a set of operational quantities that correspond to the intrinsic quantum mechanical observable. This general approach is illustrated by...
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Observables ‘are observed’ whereas beables just ‘are’. This gives beables more scope in the cosmological and quantum domains. Both observables and beables are entities that form ‘brackets’ with ‘the constraints’ that are ‘equal to’ zero. We explain how depending on circumstances, these could be, e.g., Poisson, Dirac, commutator, histories, Schouten–Nijenhuis, double or Nambu brackets, first-cla...
متن کاملStatistical mechanics of quantum-classical systems
The statistical mechanics of systems whose evolution is governed by mixed quantum-classical dynamics is investigated. The algebraic properties of the quantum-classical time evolution of operators and of the density matrix are examined and compared to those of full quantum mechanics. The equilibrium density matrix that appears in this formulation is stationary under the dynamics and a method for...
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Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is antisymmetric and satisfies the Jacobi identity, and, therefore, leads to a natural description of interaction between quantum and classical degrees of f...
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The quantum algebra of observables of a particle moving on a homogeneous connguration space Q = G=H , the transformation group C-algebra C (G; G=H), is deformed into its classical counterpart C 0 ((T G)=H). The Poisson structure of the latter is obtained as the classical limit of the quantum commutator. The superselection sectors of both algebras describe the particle moving in an external Yang...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1971
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01877752