6533b832fe1ef96bd129add9

RESEARCH PRODUCT

Quantum Toda Lattice: a Challenge for Representation Theory

Michael Semenov-tian-shansky

subject

FOS: MathematicsFOS: Physical sciences16T25 17B35 17B37 22E46 33B15 33C15Mathematical Physics (math-ph)[MATH] Mathematics [math]Representation Theory (math.RT)Mathematics - Representation TheoryMathematical Physics

description

Quantum Toda lattice may solved by means of the Representation Theory of semisimple Lie groups, or alternatively by using the technique of the Quantum Inverse Scattering Method. A comparison of the two approaches, which is the purpose of the present review article, sheds a new light on Representation Theory and leads to a number of challenging questions.

https://doi.org/10.1090/pspum/103.1/01841