Summary
A general method of handling an expanding system will be proposed from the field theoretical view point. It is shown that the canonical variables of a systemS[V] enclosed in a volumeV are connected by a unitary transformation with the canonical variables of a systemS[V′] in a larger volumeV′. The unitary transformation connecting these two systems is generated by the difference of the respective Hamiltonians.
Riassunto
Si propone dal punto di vista della teoria dei oampi un metodo generate per la trattazione di un sistema in espansione. Si dimostra che le variabili canoniche di un sistemaS[V] racchiuso in un volumeV sono connesse per mezzo di una trasformazione unitaria colle variabili canoniche di un sistemaS[V′] racchiuso in un volume maggioreV′. La trasformazione unitaria che eonnette questi due sistemi è generata dalla differenza delle rispettive hamiltoniane.
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References
A. E. Scheidegger andC. D. McKay:Phys. Rev.,83, 125 (1951); H. Ezawa, Y. Tomozawa and H. Umezawa:Nuovo Cimento,5, 810 (1957).
Y. Takahashi andH. Umezawa:Progr. Theor. Phys.,9, 14 (1953).
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This work is supported partly by the National Science Foundation.
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Takahashi, Y., Umezawa, H. A general treatment of expanding systems. Nuovo Cim 6, 1324–1334 (1957). https://doi.org/10.1007/BF02785488
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DOI: https://doi.org/10.1007/BF02785488