Victor Fleurov
Discrete nonlinear Schroedinger (DNLS) equation is currently a toy model
allowing for investigation of dynamics of discrete quantum breathers. This is
often done by means of the number representation. Otherwise, DNLS allows for
a cannonical transformation, which makes WKB analysis of tunneling between
classical isolated periodic orbits (IPO) possible. Considering tunneling
between IPO's for general type of systems, which not necesserilly are of a
DNLS type, the angle-action representation is used in order to make a WKB
analysis possible. It is demonstrated how tunneling amplitude between IPO's
in a system of two coupled anharmonic oscillators can be calculated.