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Title
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Gauge transformations of a relativistic field of quantum harmonic oscillators
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Author
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Abstract
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| A set of gauge transformations of a relativistic field of quantum harmonic oscillators is studied in a mathematically rigorous manner. Each wave function in the domain of the number operator of a single oscillator generates a Frechet-differentiable field of wave functions. Starting from a coherent wave function one obtains a two-dimensional differentiable manifold of coherent vector states. As an illustration it is shown that the gauge transformation can be chosen in such a way that the resulting fields describe a freely-propagating wave. |
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Language
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English
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Source (journal)
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Reports on mathematical physics. - Warszawa, 1970, currens
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Publication
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Warszawa
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2021
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ISSN
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0034-4877
[print]
1879-0674
[online]
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DOI
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10.1016/S0034-4877(21)00008-2
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Volume/pages
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87
:1
(2021)
, p. 15-30
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ISI
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000620748600002
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Full text (Publisher's DOI)
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Full text (open access)
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Full text (publisher's version - intranet only)
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