An algebraic approach to Saxon-Hutner theorem. (English) Zbl 1192.81133
Mladenov, Ivaïlo M. (ed.), Proceedings of the 9th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 8–13, 2007. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-42-4/pbk). 292-300 (2008).
Summary: Here we give some necessary and sufficient conditions for the validity of the Saxon-Hutner conjecture concerning the preservation of the energy gaps into an infinite one-dimensional lattice.
|81Q05||Closed and approximate solutions to quantum-mechanical equations|
|34L40||Particular ordinary differential operators|
|22E70||Applications of Lie groups to physics; explicit representations|
|81R05||Representations of finite-dimensional groups and algebras in quantum theory|
|82D25||Crystals (statistical mechanics)|