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Classical and quantum quadratic Hamiltonians

Published online by Cambridge University Press:  17 April 2009

P. Broadbridge
P. Broadbridge
Affiliation:
School of Physics and Geosciences, WA Institute of Technology, Kent Street, Bentley, Western Australia 6102, Australia.
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Abstract

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Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 3 , June 1983 , pp. 475 - 476
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Broadbridge, P., “Normal forms for classical and Boson systems”, Phys. A 99 (1979), 494–512.CrossRefGoogle Scholar
[2]Broadbridge, P., “Problems in the quantization of quadratic Hamiltonians”, Hadronic J. 4 (1981), 899–948.Google Scholar
[3]Broadbridge, P., “Existence theorems for Segal quantization via spectral theory in Krein space”, J. Austral. Math. Soc. Ser. B 24 (1983–1984), 439–460.CrossRefGoogle Scholar
[4]Broadbridge, P. and Hurst, C.A., “Existence of a complex structure for quadratic Hamiltonians?”, Ann. Phys. 131 (1981), 104–117.CrossRefGoogle Scholar
[5]Broadbridge, P. and Hurst, C.A., “Canonical forms for quadratic Hamiltonians”, Phys. A 108 (1981), 39–62.CrossRefGoogle Scholar
[6]Broadbridge, P. and Hurst, C.A., “Fermi-Dirac quantization of linear systems”, Ann. Phys. 137 (1981), 86–103.CrossRefGoogle Scholar