A complete understanding of Schrödinger operators is a necessary prerequisite for unveiling the physics of nonrelativistic quanturn mechanics. Furthermore recent research shows that it also helps to deepen our insight into global differential geometry. This monograph written for both graduate students and researchers summarizes and synthesizes the theory of Schrödinger operators emphasizing the progress made in the last decade by Lieb, Enss, Witten and others. Besides general properties, the book covers, in particular, multiparticle quantum mechanics including bound states of Coulomb systems and scattering theory, quantum mechanics in constant electric and magnetic fields, Schrödinger operators with random and almost periodic potentials and, finally, Schrödinger operator methods in differential geometry to prove the Morse inequalities and the index theorem.

Schrodinger Operators, With Applications to Quantum Mechanics and Global Geometry (Texts and Monographs in Physics)

Science & Math

R.G. Froese

B. Simon

W. Kirsch

Physics

Springer

See the best price to sell, buy, or rent books by B. Simon. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by B. Simon

See the best price to sell, buy, or rent books by B. Simon. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Schrodinger Operators, With Applications to Quantum Mechanics and Global Geometry (Texts and Monographs in Physics)