The time-dependent variation principle due to Frenke! is discussed t-om a new standpoint based only on the assumption that the norin of the variational function @ exists. By studying the expectation value of the frequency operatorj = ialar, one may intrcduce the conventional normalization znd a "pha
Comments on the variational principle and superfluid mechanics
β Scribed by S. Putterman
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 160 KB
- Volume
- 89
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We argue that there are four basic forms of the variational principles of mechanics: Hamilton's least action principle (HP), the generalized Maupertuis principle (MP), and their two reciprocal principles, RHP and RMP. This set is invariant under reciprocity and Legendre transformations. One of these
## IN HONOR OF KY FAN Ekeland's variational principle states that if a Gateaux differentiable Ε½ . function f has a finite lower bound although it need not attain it , then 5 X Ε½ .5 for every β ) 0, there exists some point x such that f x F β. This β β Ε½ . Ε½ .
A class of time reversible non-stationary diffusion processes with values on the classical Wiener space is constructed. These processes should be relevant to ("2-dimensional") Euclidean quantum field theory since they generalize those constructed before for non-relativistic quantum mechanics, along