In this paper a formulation of classical mechanics is given with the help of linear operators in HILBERT space, which is different from the formalism of v. NEUMANN and KOOPMAN, i.e. the observables are represented by selfadjoint operators instead of real functions. It is shown that classical mechani
Quantum Mechanics without Waves: A Generalization of Classical Statistical Mechanics
✍ Scribed by Marcello Cini
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 132 KB
- Volume
- 273
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
We generalize classical statistical mechanics to describe the kynematics and the dynamics of systems whose variables are constrained by a single quantum postulate (discreteness of the spectrum of values of at least one variable of the theory). This is possible provided we adopt Feynman's suggestion of dropping the assumption that the probability for an event must always be a positive number. This approach has the advantage of allowing a reformulation of quantum theory in phase space without introducing the unphysical concept of probability amplitudes, together with all the problems concerning their ambiguous properties.
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