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. 2004 Nov 1;121(17):8175-8.
doi: 10.1063/1.1799015.

Formally exact quantization condition for nonrelativistic quantum systems

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Formally exact quantization condition for nonrelativistic quantum systems

Y C Ou et al. J Chem Phys. .

Abstract

Based on the standard transfer matrix, a formally exact quantization condition for arbitrary potentials, which outflanks and unifies the historical approaches, is derived. It can be used to find the exact bound-state energy eigenvalues of the quantum system without solving an equation of motion for the system wave functions.

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