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arxiv: quant-ph/0606054 · v1 · submitted 2006-06-07 · 🪐 quant-ph · astro-ph· hep-th

Formally exact quantization condition for nonrelativistic quantum systems

classification 🪐 quant-ph astro-phhep-th
keywords exactconditionformallyquantizationquantumsystemapproachesarbitrary
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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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