Quantum Theory: A Mathematical Approach
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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17 Concluding Remarks
Part II Supplementary Material
19 Measure and Integral
22 Probability Theory
23 Tensor Products
9 Many Particle Systems
10 Review of Classical Statistical Physics
11 Quantum Statistical Physics
12 Physical Theories as Algebraic Systems
14 Scattering Theory
15 Towards Relativistic Quantum Theory