This article is cited in 2 papers

Wave packets and statistics concerned with SUSY-QM partners of Paul trap Hamiltonians

M. Gianfreda, G. Landolfi

Dipartimento di Fisica, Università del Salento and I.N.F.N. Sezione di Lecce, Lecce, Italy

Abstract: We consider time-dependent quadratic Hamiltonians in the supersymmetric quantum mechanical framework. We study the quantum mechanical properties of some basic states in the fermionic sector of the Hilbert space. To understand the differences between the bosonic and fermionic sectors better, we focus on periodic quadratic Hamiltonians of the Paul-trap type.

Keywords: Darboux intertwining, nonstationary supersymmetric quantum mechanics, Heisenberg–Weyl algebra, nonclassical state.

DOI: 10.4213/tmf6665

 English version: Theoretical and Mathematical Physics, 2011, 168:1, 924–938

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