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 small random perturbations of dynamical systems. We recover all known results concerning the wave function and the energy splitting of the two lowest lying states, and we give an explicit expression for the prefactor of the exponential asymptotic term in the energy splitting.
NONSYMMETRICAL DOUBLE WELL AND EUCLIDEAN FUNCTIONAL INTEGRAL / Cesi, Filippo; G. C., Rossi; Testa, Massimo. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - 206:(1991), pp. 318-333. [10.1016/0003-4916(91)90003-q]
NONSYMMETRICAL DOUBLE WELL AND EUCLIDEAN FUNCTIONAL INTEGRAL
CESI, Filippo;TESTA, Massimo
1991
Abstract
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 small random perturbations of dynamical systems. We recover all known results concerning the wave function and the energy splitting of the two lowest lying states, and we give an explicit expression for the prefactor of the exponential asymptotic term in the energy splitting.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
