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Physics Letters A

Effective Hamiltonian and Berry phase in a quantum mechanical system with time dependent boundary conditions

P. B. Pereshogin, P. I. Pronin

Published Jun 1, 1991• 36 citations
Publisher
DOI
10.1016/0375-9601(91)90117-q

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For a quantum system with time dependent boundary conditions, it is shown that the ef-fective Hamiltonian can be constructed in a simple way without any geometric treatemnt. In this paper the effective Hamiltonian, constructed in the above way, of quantum particle in a spherical box of varying radius is used to calculate the Berry phase of the wave function. We found that the effective Hamiltonian and original one are formally related with a static gauge transformation, the quantum states of the two Hamiltonians differ by a Berry phase.