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Coherent states of para-Bose oscillators

Published online by Cambridge University Press:  17 February 2009

S. N. Biswas  and
T. S. Santhanam
S. N. Biswas
Affiliation:
Department of Theoretical Physics Research School of Physical Sciences, Australian National University, Canberra A.C.T. 2600
T. S. Santhanam
Affiliation:
Department of Theoretical Physics Research School of Physical Sciences, Australian National University, Canberra A.C.T. 2600
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Abstract

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Para-Bose coherent states, defined as “displaced” ground states, are obtained using the differential operator representation for the annihilation operator.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 2 , October 1980 , pp. 210 - 217
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Gray, D. A. and Hurst, C. A., “Explicit representations of a single parabose operator”, J. Math. Phys. 16 (1975), 326–333.CrossRefGoogle Scholar
[2]Green, H. S., “A generalized method of field quantization”, Phys. Rev. 90 (1953), 270–273.CrossRefGoogle Scholar
[3]Jordan, T. F., Mukunda, N. and Pepper, S. V., “Irreducible representations of generalized oscillator operators”, J. Math. Phys. 4 (1963), 1089–1096.CrossRefGoogle Scholar
[4]Klauder, J. R. and Sudarshan, E. C. G., Fundamentals of quantum optics (Benjamin, 1968).Google Scholar
[5]Lebeder, N. N., Special functions and their application (Prentice-Hall, 1965), p. 108.Google Scholar
[6]O'Raifeartaigh, L. and Ryan, C., Proc. Roy. Irish. Acad. A. 62 (1963), 93.Google Scholar
[7]Rellich, F., “Der Eindeutigkeitssatz für die Läsungen der quantummechanischen Vertanschumgsrelationen”, Nachr. Akad. Wiss. Göttingen, Math. Physik. K 1(1946), 107–115.Google Scholar
[8]Sharma, J. K., Mehta, C. L. and Sudarshan, E. C. G., “Para-Bose coherent states”, J. Math. Phys. 19 (1978), 2089–2093.CrossRefGoogle Scholar
[9]Santhanam, T. S., Invited talk at the Albert Einstein centennial week symposium on Symmetries in science held in Carbondale, Southern Illinois, U.S.A., 28 02 to 2 03 1979. To appear in the Proceedings (Plenum Press).Google Scholar