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Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators by Gerald Teschl is a nonfiction available to read on EtoBox.

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Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in

Who reads Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators?

Author

Gerald Teschl

Publisher

American Mathematical Society

Published

2014

Language

EN

ISBN

9781470417048

Category

nonfiction

Subjects

Science, Mathematics, Physics