𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quantum Mechanics and Stochastic Mechanics for Compatible Observables at Different Times

✍ Scribed by M. Correggi; G. Morchio


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
141 KB
Volume
296
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis


Bohm mechanics and Nelson stochastic mechanics are confronted with quantum mechanics in the presence of noninteracting subsystems. In both cases, it is shown that correlations at different times of compatible position observables on stationary states agree with quantum mechanics only in the case of product wave functions. By appropriate Bell-like inequalities it is shown that no classical theory, in particular no stochastic process, can reproduce the quantum mechanical correlations of position variables of noninteracting systems at different times.


πŸ“œ SIMILAR VOLUMES


Some useful discrete variable representa
✍ James T. Muckerman πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 521 KB

We develop a simple, yet powerful approach to constructing discrete variable representations for the solution of quantum mechanical problems by focusing on proper&s of the underlying basis set. Two examples, one involving fixed-node boundary conditions and the other periodic boundary conditions, are

Time-dependent raising and lowering oper
✍ C.J. Ballhausen πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 352 KB

Raising and loweringoperators are constructed for the harmonic oscillator with a time-dependent force constant and for the damped and linearly forced oscillator. The demand that the total derivative [ ri(x, p, t), I?] +ifi a/at ri(x, p, t) of the time-dependent operator 6(x, p, t) and its Hermitian