Formally exact quantization condition for nonrelativistic quantum systems

Details Formally exact quantization condition for nonrelativistic quantum systems Formally exact quantization condition for nonrelativistic quantum systems

2006-06-07

arxiv.org/abs/quant-ph/0606054v1

J.Chem.Phys. 121 (2004) 8175

Physics

Quantum Physics

4 pages. Appeared in Journal of Chemical Physics 121,8175(2004)

Scientific paper

10.1063/1.1799015

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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