Path Integrals in Quantum and Statistical Mechanics
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Date
1988-06
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Addis Ababa University
Abstract
The path i ntegra l formalism of Quantum Hechanic s is
developed from both the Lagrangian and Hamiltonian point of
view. Some e xact propagators are calculated. Several
stat istical mechanics p r oblems are d i scussed via a pa th
integ r a l fo rmulation of the statisti cal density matrix a nd
an a pplicati on to second quantized Hamilton ians using coherent
states is described . The va riational technique i s
considered wi th illustrative examples . A review of some
selecte d recen t achievements o f the technique 1s presented
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Keywords
Quantum and Statistical Mechanics