Book chapter
Classical Limits and Critical Properties
Critical Phenomena, pp 213-244
01 Jan 1985
Abstract
The classical limit is constructed for systems whose dynamical group is a compact Lie group. The static, thermodynamic, and dynamic properties of such model systems are studied by estimating the ground state energy per particle, the free energy per particle, and the dynamical orbits. These estimates are made by applying a variational principle to the expectation value of the hamiltonian, the free energy, and the lagrangian Operators in the coherent State representation. The expectation values are easily computed in the classical limit. The critical behavior is studied by investigating the behavior of the minima as a function of the parameters which appear in these operators. Relationships among these critical properties (“crossover theorems”) are exhibited. Examples are used to illustrate the concepts which are introduced.
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Details
- Title
- Classical Limits and Critical Properties
- Creators
- Robert Gilmore - Drexel University
- Publication Details
- Critical Phenomena, pp 213-244
- Series
- Progress in Physics
- Publisher
- Birkhäuser Boston; Boston, MA
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- [Retired Faculty]
- Other Identifier
- 991021861625104721