In a series of recent papers we have shown how the dynamical behavior of certain classical systems can be analyzed using operators evolving according to Heisenberg-like equations of motions. In particular, we have shown that raising and lowering operators play a relevant role in this analysis. The technical problem of our approach stands in the difficulty of solving the equations of motion, which are, first of all, operator-valued and, secondly, quite often nonlinear. In this paper we construct a general procedure which significantly simplifies the treatment for those systems which can be described in terms of fermionic operators. The proposed procedure allows to get an analytic solution, both for quadratic and for more general hamiltonians

bagarello, f. (2013). Matrix computations for the dynamics of fermionic systems. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 53, 555-565 [10.1007/s10773-013-1839-1].

Matrix computations for the dynamics of fermionic systems

BAGARELLO, Fabio
2013-01-01

Abstract

In a series of recent papers we have shown how the dynamical behavior of certain classical systems can be analyzed using operators evolving according to Heisenberg-like equations of motions. In particular, we have shown that raising and lowering operators play a relevant role in this analysis. The technical problem of our approach stands in the difficulty of solving the equations of motion, which are, first of all, operator-valued and, secondly, quite often nonlinear. In this paper we construct a general procedure which significantly simplifies the treatment for those systems which can be described in terms of fermionic operators. The proposed procedure allows to get an analytic solution, both for quadratic and for more general hamiltonians
2013
bagarello, f. (2013). Matrix computations for the dynamics of fermionic systems. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 53, 555-565 [10.1007/s10773-013-1839-1].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/95769
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