6533b860fe1ef96bd12c3b5f
RESEARCH PRODUCT
Matrix Computations for the Dynamics of Fermionic Systems
Fabio Bagarellosubject
Quantum PhysicsPhysics and Astronomy (miscellaneous)Series (mathematics)Computer scienceGeneral MathematicsComputationFOS: Physical sciencesEquations of motionQuantum dynamics for classical systemsMathematical Physics (math-ph)Construct (python library)Nonlinear systemMatrix (mathematics)Ladder operatorQuadratic equationApplied mathematicsQuantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical Physicsdescription
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, {\em 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 | International Journal of Theoretical Physics |