On obtaining classical mechanics from quantum mechanics

From Classical to Quantum Mechanics:

From Classical to Quantum Mechanics: " How to translate physical ideas into mathematical language " Abstract In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts:-General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoints operators and so on...)-Quantum Mechanics properly ...

From Classical to Quantum Mechanics through Optics

According to Arnold Sommerfeld mechanics is “the backbone of mathematical physics”; it is a highly elaborated theory emerging from Newton’s laws which, in turn, summarize in precise form the whole body of experience. Classical mechanics describes with great precision the motion of macroscopic bodies, including astronomical bodies, except when velocities and masses involved are excessively large...

A Quantum–Classical Brackets from p-Mechanics

– We provide an answer to the long standing problem of mixing quantum and classical dynamics within a single formalism. The construction is based on p-mechanical derivation of quantum and classical dynamics from the representation theory of the Heisenberg group. To achieve a quantum-classical mixing we take the product of two copies of the Heisenberg group which represent two different Planck’s...

Nonlinear supersymmetry: from classical to quantum mechanics

Quantization of the nonlinear supersymmetry faces a problem of a quantum anomaly. For some classes of superpotentials, the integrals of motion admit the corrections guaranteeing the preservation of the nonlinear supersymmetry at the quantum level. With an example of the system realizing the nonlinear superconformal symmetry, we discuss the nature of such corrections and speculate on their possi...

Classical models of quantum mechanics