Nonzero temperature variational principle
β Scribed by M. A. Pokrant; A. A. Broyles; R. L. Coldwell
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 385 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0020-7608
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π SIMILAR VOLUMES
A system under the action of an external influence characterised by some function f acquires an excitation u, u and f being related by Au = f where A is a positive definite symmetrical operator. A new method is discussed for obtaining a lower bound for the "energy" of the system, (f, u).
## Abstract The timeβdependent variational principle due to Frenkel is derived from Hamilton's principle using a suitable general expression for the variational wave function. The connections with a recent comment of P. O. LΓΆwdin and P. K. Mukherjee on the same subject are discussed.
A parametrized version of Ekeland's variational principle is proved, showing that under suitable conditions, the minimum point of the perturbed function can be chosen to depend continuously on a parameter. Applications of this result are given.