β Scribed by Taro Kashiwa; Shuji Nima; Seiji Sakoda
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this article we show how to compute from Euclidean path integral the wave function of the ground state of a quantum mechanical system. The method is sufficiently general to encompass the case of degenerate classical minima, as well as the case of multidimensional systems. In the one dimensional c
We obtain the adiabatic Berry phase by defining a generalised gauge potential whose line integral gives the phase holonomy for arbitrary evolutions of parameters. Keeping in mind that for classical integrable systems it is hardly clear how to obtain the open-path Hannay angle, we establish a connect
The time-dependent gauge transformation is discussed in the context of modified Lagrangian and Hamiltonian formalisms in which time is treated as a dynamical coordinate. It is shown that Berry's phase is invariant under both time-dependent unitary and generalized gauge transformations. The Berry pha
In this paper we show how it is possible to discuss in the language of functional integrals the problem of the symmetric double well with a small perturbation, in the semiclassical limit. This problem has been previously treated by means of a completely different approach, based on the theory of sma