Abstract
We discuss the Maslov quantization condition, especially a method of quasi-classical calculation of energy levels of Schrödinger operators. The method gives an approximation of eigenvalues of operators in general. We give several concrete examples of Schrödinger operators to which the quasi-classical calculation gives the correct eigenvalues and pose some open problems.
To the memory of Gérard G. Emch
Mathematics Subject Classification (2010). Primary 53D12; Secondary 81S10.
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© 2016 Springer International Publishing Switzerland
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Kanazawa, T., Yoshioka, A. (2016). Quasi-classical Calculation of Eigenvalues: Examples and Questions. In: Kielanowski, P., Ali, S., Bieliavsky, P., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-31756-4_8
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DOI: https://doi.org/10.1007/978-3-319-31756-4_8
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-31755-7
Online ISBN: 978-3-319-31756-4
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