nLab Methods of Modern Mathematical Physics
Context
Physics
physics, mathematical physics, philosophy of physics
Surveys, textbooks and lecture notes
theory (physics), model (physics)
experiment, measurement, computable physics
-
-
-
Axiomatizations
-
Tools
-
Structural phenomena
-
Types of quantum field thories
-
Mathematics
-
-
- geometry (general list), topology (general list)
- general topology
- differential topology
- differential geometry
- algebraic geometry
- noncommutative algebraic geometry
- noncommutative geometry (general flavour)
- higher geometry
This page is to record the reference:
-
Michael Reed and Barry Simon:
Methods of Modern Mathematical Physics
Academic Press (1978)
-
Volume I: Functional Analysis
-
Volume II: Fourier Analysis, Self-Adjointness
-
Volume III: Scattering Theory
-
Volume IV: Analysis of Operators
-
Section XIII.16: Schrödinger operators with periodic potentials
on Bloch-Floquet theory and electron band theory
[pdf]
-
Contents
Volume 2 may be the origin of the famous saying attributed (there) to Edward Nelson:
First quantization is a mystery, but second quantization is a functor.
(on “first” or “canonical quantization” versus “second quantization” of free fields):
Last revised on January 28, 2026 at 17:17:38. See the history of this page for a list of all contributions to it.