**Mathematical Methods in Quantum Mechanics**

by Gerald Teschl

**Publisher**: American Mathematical Society 2009**ISBN/ASIN**: 0821846604**ISBN-13**: 9780821846605**Number of pages**: 317

**Description**:

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.

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Numerical Methods in Quantum Mechanics**

by

**Paolo Giannozzi**-

**University of Udine**

The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter physics.

(

**3746**views)

**Using Mathematica for Quantum Mechanics: A Student's Manual**

by

**Roman Schmied**-

**arXiv.org**

This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be analyzed and understood at a deeper level than what is possible with more abstract representations.

(

**602**views)

**Mathematical Concepts of Quantum Mechanics**

by

**S. Gustafson, I.M. Sigal**-

**University of Toronto**

These lectures cover a one term course taken by a mixed group of students specializing either in mathematics or physics. We illustrate an interplay of ideas from various fields of mathematics, such as operator theory, differential equations, etc.

(

**2424**views)

**Homological Tools for the Quantum Mechanic**

by

**Tom Mainiero**-

**arXiv.org**

This paper is an introduction to work motivated by the question 'can multipartite entanglement be detected by homological algebra?' We introduce cochain complexes associated to multipartite density states whose cohomology detects factorizability.

(

**444**views)