« Ambiguity » of harmonic-oscillator commutation relations | Zendy

David G. Boulware | Zendy; S. Deser | Zendy

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« Ambiguity » of harmonic-oscillator commutation relations

Author(s) -

David G. Boulware,

S. Deser

Publication year - 1963

Publication title -

il nuovo cimento

Language(s) - English

Resource type - Journals

eISSN - 1827-6121

pISSN - 0029-6341

DOI - 10.1007/bf02750763

Subject(s) - commutation , harmonic oscillator , physics , hamiltonian (control theory) , quantum mechanics , semiclassical physics , fermi gamma ray space telescope , ambiguity , quantum harmonic oscillator , coherent states , mathematical physics , classical mechanics , quantum , mathematics , voltage , computer science , mathematical optimization , programming language

Summary The possibility, first noticed by Wigner, that the form of the Hamiltonian together with the Heisenberg equations do not imply canonical commutation relations for the harmonic oscillator variables, is re-examined here. It is shown that this freedom of commutation relations just expresses the known possibility of quantizing the system by Bose or Fermi (and para-Fermi) statistics, and of altering the zero-point energy.

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