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📄 Journal Article

Para-Bose coherent states

October 01, 1978 73 citations 🔒 Closed Journal of Mathematical Physics
73
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Abstract

In place of the usual commutation relation [â,â†]=1 we consider the generalized commutation relation characteristic of the para-Bose oscillators, viz, [â, Ĥ]=Ĥ where Ĥ is the Hamiltonian (1/2)(ââ†+â†â). The number states and the representation of various operators in the basis formed by these states are obtained. We then introduce the para-Bose coherent states defined as the eigenstates of â for this generalized case. We consider some of the properties of these coherent states and also show that the uncertainty product 〈 (Δq̂)2〉 〈 (Δp̂)2〉 in this case could be made arbitrarily small.

Publication Details
TypeJournal Article
PublishedOctober 01, 1978
Source Journal of Mathematical Physics
PublisherAmerican Institute of Physics
Volume/Issue Vol. 19 , Issue 10 , pp. 2089-2093
DOI 10.1063/1.523564
OpenAlex ID W2046106547
Open AccessClosed Access
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