Quasi-Exactly Solvable Models in Quantum Mechanics

ISBN-13: 9780367402167 / Angielski / Miękka / 2019 / 480 str.

A. G. Ushveridze

Opis

Collecting the results of QES models in a unified and accessible form, this book provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics.

Spis treści

Quasi-exact solvability - what does that mean? Simplest analytic methods for constructing quasi-exactly solvable models. The inverse method of separation of variables. Classification of quasi-exactly solvable models with separable variables. Completely integrable Gaudin models and quasi-exact solvability. Appendices. References. Index.

O autorze

Ushveridze, A.G