Mathematical Methods in Quantum Mechanics

Name: Mathematical Methods in Quantum Mechanics
Brand: American Mathematical Society
SKU: 9781470417048
Price: 39799 HUF
Availability: InStock

With Applications to Schrodinger Operators

Szerző: Gerald Teschl

Nyelv:

Kötés: Kemény kötésű

Kiadó: American Mathematical Society

Elérhetőség: Beszállítói készleten

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Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their b...

Információk a könyvről

Szerző

Gerald Teschl

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2014

oldal

356

EAN

9781470417048

ISBN

9781470417048

Enbook ID

09060994

Kiadó

American Mathematical Society

Súly

806

Méretek

182 x 261 x 23

Teljes leírás

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 Schrödinger 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 Schrödinger 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 Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. This new edition has additions and improvements throughout the book to make the presentation more student friendly.

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Mathematical Methods in Quantum Mechanics

With Applications to Schrodinger Operators

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták