This article is cited in 8 papers

Energy splitting in dynamical tunneling

E. V. Vybornyi

Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Moscow, Russia

Abstract: We propose an operator method for calculating the semiclassical asymptotic form of the energy splitting value in the general case of tunneling between symmetric orbits in the phase space. We use this approach in the case of a particle on a circle to obtain the asymptotic form of the energy tunneling splitting related to the over-barrier reflection from the potential. As an example, we consider the quantum pendulum in the rotor regime.

Keywords: dynamical tunneling, tunneling splitting, Schrödinger equation, semiclassical approximation, over-barrier reflection.

Received: 17.07.2014

DOI: 10.4213/tmf8771

 English version: Theoretical and Mathematical Physics, 2014, 181:2, 1418–1427

Bibliographic databases:

• 
• 
• 
• 
• 
•