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
Time-dependent variational principle
β Scribed by R. Moccia
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 199 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
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.
π SIMILAR VOLUMES
## Abstract This paper proposes a direct, quantumβmechanical definition for Ξ (effective action) using a twoβstep procedure for applying the variational principle to timeβdependent quantum problems.
## The quanta1 time evolution of a one-dimensional Gaussian wave packet according to the time-dependent variational principle (TDVP) is shown to be formally equivalent to the classical motion of a particle in a two-dimensional potential. The formal and practical advantages of the TDVP approach are