β Scribed by Filippo Cesi; Gian Carlo Rossi; Massimo Testa
No coin nor oath required. For personal study only.
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.
π SIMILAR VOLUMES
Let F be a global function field of characteristic p and E/F an elliptic curve with split multiplicative reduction at the place .: then E can be obtained as a factor of the Jacobian of some Drinfeld modular curve. This fact is used to associate to E a measure m E on P 1 (F . ). By choosing an approp
Martin boundaries and integral representations of positive functions which are harmonic in a bounded domain D with respect to Brownian motion are well understood. Unlike the Brownian case, there are two different kinds of harmonicity with respect to a discontinuous symmetric stable process. One kind