WKB method and quantum periods beyond genus one
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aae8b0
Abstract: We extend topological string methods in order to perform WKB approximations for quantum mechanical problems with higher order potentials efficiently. This requires techniques for the evaluation of the relevant quantum periods for Riemann surfaces beyond… read more here.
Keywords: quantum; genus one; beyond genus; quantum periods ... See more keywords
WKB and “cubic-WKB” methods as an adiabatic approximation
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters A"
DOI: 10.1142/s021773231950250x
Abstract: This paper shows that WKB wave function can be expressed in the form of an adiabatic expansion. To build a bridge between two widely invoked approximation schemes seems pedagogically instructive. Further, “cubic-WKB” method that has… read more here.
Keywords: cubic wkb; adiabatic approximation; wave function; wkb ... See more keywords