Evolution of quantum systems with a scaling type of time-dependent Hamiltonians

Details Evolution of quantum systems with a scaling type of time-dependent Hamiltonians Evolution of quantum systems with a scaling type of time-dependent Hamiltonians

2002-12-12

arxiv.org/abs/quant-ph/0212074v1

Int. J. Mod. Phys. B 16 (2002) 3909-3914

Physics

Quantum Physics

9 pages

Scientific paper

10.1142/S0217979202013158

We introduce a new class of quantum models with time-dependent Hamiltonians of a special scaling form. By using a couple of time-dependent unitary transformations, the time evolution of these models is expressed in terms of related systems with time-independent Hamiltonians. The mapping of dynamics can be performed in any dimension, for an arbitrary number of interacting particles and for any type of the scaling interaction potential. The exact solvability of a "dual" time-independent Hamiltonian automatically means the exact solvability of the original problem with model time-dependence.

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