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arXiv · 1101.4321

Distributed Phase Acquisition in a Wave Function

Robert Englman·Asher Yahalom
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Abstract

A separable $x-y$ model is solved for a specialized vector potential (no magnetic and weak electric fields) penetrating slowly\textbf{,} adiabatically into and across a rectangular box to which an electron is confined. The time-dependent Schrödinger equation has adiabatic solutions, in which gradual phase acquisitions occur for {\it parts} of the electronic wave function. For a closed trajectory of the source, the initial and after-return wave functions are shown to be simultaneously co-degenerate solutions of the Hamiltonian, which situation repeats itself for further cyclic motion of the source.

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Robert Englman, Asher Yahalom. 2011-01-22. Distributed Phase Acquisition in a Wave Function. https://doi.org/10.1209/0295-5075%2F93%2F20001

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