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Higher-order Levinson's theorems and the high-temperature expansion of the partition function

✍ Scribed by D Bollé

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
871 KB
Volume
121
Category
Article
ISSN
0003-4916

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✦ Synopsis

Higher-order two-body Levinson's theorems are proved for the class of potentials V E L' n L2 in terms of the energy moments of the trace of the time-delay operator. If V is smooth, the correction terms appearing in these trace relations are Korteweg-de Vries-type invariants. These theorems are used to derive the high-temperature expansion of the quantum mechanical grand partition function, explicitly showing the cancellation between the boundstate contributions and scattering contributions.

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