## Quantum Theory

#### A Mathematical Approach

**Author(s):**

Peter Bongaarts

**Publisher:**

Springer

**Pages:**445

**Further Actions:**

**Categories:**

### AVAILABLE FORMATS

Paperback - 9783319376028

10 September 2016

* $79.99*

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Hardcover - 9783319095608

10 December 2014

* $89.99*

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**In stock**

Ebook - 9783319095615

01 December 2014

* $59.99*

**In stock**

This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks...

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This book was inspired by the general observation that the great theories of modern physics are based on simple and transparent underlying mathematical structures – a fact not usually emphasized in standard physics textbooks – which makes it easy for mathematicians to understand their basic features.

It is a textbook on quantum theory intended for advanced undergraduate or graduate students: mathematics students interested in modern physics, and physics students who are interested in the mathematical background of physics and are dissatisfied with the level of rigor in standard physics courses. More generally, it offers a valuable resource for all mathematicians interested in modern physics, and all physicists looking for a higher degree of mathematical precision with regard to the basic concepts in their field.

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A contribute to bridge the gap between physics and mathematics

Provides a mathematically rigorous approach to quantum mechanics

Treats extensively arguments that are rarely discussed in similar books, such as quantum statistical physics and relativistic quantum field theory

Enriched with historical material

Classical Mechanics

Quantum Theory: General Principles

Quantum Mechanics of a Single Particle I

Quantum Mechanics of a Single Particle II

The Harmonic Oscillator

The Hydrogen Atom

Spin

Many-Particle Systems

Quantum Statistical Physics

Physical Theories as Algebraic Systems

Quantization. The Classical Limit

Towards Relativistic Quantum Theory

An Introduction to Quantum Field Theory

What is Not Treated in This Book.

“This is a text intended primarily for advanced undergraduate and graduate students in mathematics, and secondarily for physiscs students wanting an introduction to the modern mathematics utilized in quantum mechanics. It has an intentional algebraic flavor that provides a succinct means for comparison between quantum and classical machanics. … The reader could infer that quantum theory, with its axioms, is tidy and has a well-defined mathematical framework.” (Lawrence E. Thomas, Mathematical Reviews, July, 2015)

“This publication provides a quite interesting text book on quantum theory written having in mind advanced undergraduate or graduate students in mathematics, but which can also be a very nice reference text for physics students having an interest in the mathematical foundations of quantum theory.” (Bassano Vacchini, zbMATH 1315.81001, 2015)