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Prog. Theor. Phys. Vol. 70 No. 5 (1983) pp. 1444-1453
Supersymmetric Quantum Mechanics and Index Theorem
Minoru Hirayama
Department of Physics, Toyama University, Toyama 930
(Received June 27, 1983)
Abstract:
Supersymmetric quantum mechanics is discussed in the spaces of one and three dimensions. The structure of the continuum portion of the spectrum of the hamiltonian is investigated by making use of Callias' and Weinberg's generalized index theorems. The difference of the densities of bosonic and fermionic states at a fixed energy is calculated and it turns out to be topologically invariant and non-vanishing in the presence of continuous spectra.
URL :
http://ptp.ipap.jp/link?PTP/70/1444/
DOI : 10.1143/PTP.70.1444
References:
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 94 No. 6 (1995) pp. 989-999
:
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Phase Operator Associated with the Radiation Field
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Minoru Hirayama and Hui-Min Zhang
