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
A comment on time-dependent variational-principles
β Scribed by Reinhard, P. -G.
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 161 KB
- Volume
- 280
- Category
- Article
- ISSN
- 1434-601X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## 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.
We investigate the Dirac time-dependent variational method for a system of non-ideal Bosons interacting through an arbitrary two body potential. The method produces a set of non-linear time dependent equations for the variational parameters. In particular we have considered small oscillations about
It is demonstrated that the least action time-dependent variational principle suggested by Kerman and Koonin is equivalent to Frenkel's variational principle. A set of equations suitable for the variational treatment of a number of time-dependent problems has been derived in the course of this analy