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Books, Free Shipping, Mathematical Concepts Of Quantum Mechanics

Posted at: Offers to Sell and Export | Posted on: Wed 28 Jul, 2010 7:35 am | Product Category: Reference books [3760]
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Product Details

Author Stephen J. Gustafson

Publisher World Publishing Corporation

Isbn 9787510005022,


Published August 2009

Pages 286

Size 24k

Edition First

Format Paperback

Language English

Page material gelatine plate paper

Product Description:

The first fifteen chapters of these lectures (mitting four to six chapters each year) over a one term course taken by a mixed group of senior undergraduate and junior graduate students specializing either in mathematics or physics. Typically, the mathematics students have some background in advanced analysis, while the physics students have had introductory quantum mechanics. To satisfy such a disparate audience, we decided to select material which is interesting from the viewpoint of modern theoretical physics, and which illustrates an interplay of ideas from various fields of mathematics such as operator theory, probability, differential equations, and differential geometry. Given our time constraint, we have often pursued mathematical content at the expense of rigor. However, wherever we have sacrificed the latter, we have tried to explain whether the result is an established fact, or, mathematically speaking, a conjecture, and in the former case, how a given argument can be made rigorous. The present book retains these features.


1 Physical Background

2 Dynamics

3 Observables

4 The Uncertainty Principle

5 Spectral Theory

6 Scattering States

7 Special Cases

8 Many-particle Systems

9 Density Matrices

10 Perturbation Theory: Feshbach Method

11 The Feynman Path Integral

12 Quasi-classical Analysis

13 Mathematical Supplement: The Calculus of Variations

14 Resonances

15 Introduction to Quantum Field Theory

16 Quantum Electrodynamics of Non-relativistic Particles:The Theory of Radiation

17 Supplement: Renormalization Group

18 Comments on Missing Topics, Literature, and Further Reading



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