Some quantum operators with discrete spectrum but classically continuous spectrum

Creators: Simon, Barry

Abstract

We consider a number of simple quantum Hamiltonians H(−i∇,x) with the following property: H(−i∇,x) has discrete spectrum even though {(p,q) | H(p,q)

Additional Information

© 1983 Published by Elsevier. Received September 22, 1982. Research partially supported by USNSF under Grant MCS-81-20833. It is a pleasure to thank J. Goldstone and R. Jackiw for raising their question, C. Fefferman for telling me of his work with D. Phong, and M. Aizenman, C. Fefferman, M. Peskin, and most especially J. Avron. for valuable discussions.

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Some quantum operators with discrete spectrum but classically continuous spectrum

Abstract

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