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Engineering Physics Annotation << Back
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«NOBODY UNDERSTANDS QUANTUM
MECHANICS.» WHY? |
N.V. LUNIN
The well known and oft-quoted Feynman’s expression, entered the title, leading at a loss
and even being objectionable, has not yet a clear explanation. The hidden parameters
problem in quantum mechanics is considered on the base of group-theoretic approach
which includes the complete set of observables indispensably. The last ones are the bilinear
Hermitian forms constructed from the Schroedinger equation solutions and its fi rst
derivatives, they satisfy the algebraic completeness condition. These Hermitian forms,
obtained for the simplest standard problem of particle transmission above potential step,
had been compared with the Hermitian forms which are usually considered in this problem,
and an additional ones, which may be obtained within the framework of an ordinary
schemes of quantum mechanics. It is shown that the generally recognized schemes of the
problem solution lead to violation of some conservation laws on the step directly. On the
contrary, the group-theoretic approach leads to fulfi llment of all necessary conservation
laws everywhere at the same time. It is also shown that the complete set of observables
leads a probabilistic interpretation in quantum mechanics to be excessive.
Key words: quantum mechanics, probability interpretation, hidden parameters, Noether theorems.
Contacts: E-mail: n.v.lunin@sandy.ru
Pp. 45-62. |
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