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DO NOT USE THIS TAG just because your question involves math! If your question is on simplification of a mathematical expression, please ask it at math.stackexchange.com. Mathematical physics is the mathematically rigorous study of the foundations of physics, and the application of advanced mathematical methods to problems in physics. Examples include partial differential equations (PDEs), variational calculus, functional analysis, and potential theory.

9 votes
3 answers
975 views

Why is there a time dependence in the Heisenberg states of the Haag-Ruelle scattering theory?

I'm reading R. Haag's famous book "Local Quantum Physics: Fields, Particles, Algebras", 2nd edition, and I'm very puzzled by the way he treats the Heisenberg picture in the Haag-Ruelle scattering theo …
Andrea Becker's user avatar
3 votes
2 answers
531 views

What is the rigorous mathematical underpinning of Schwinger's quantum action principle?

I'm reading J. Schwinger's book "Quantum Kinematics and Dynamics" and I'm trying to make sense of his formulation of his famous quantum action principle. In essence, he starts from considering arbitra …
Andrea Becker's user avatar
0 votes
0 answers
83 views

How does one define a constant of motion in algebraic qft?

Among the postulates of AQFT there is no dynamical evolution principle postulated, i.e. there is no analog to a postulated Heisenberg equation of motion. How does one define a constant of motion in al …
Andrea Becker's user avatar
-1 votes

Does anyone take the Wightman axioms seriously?

You've heard the opinion of a mathematical physicst, i.e. of a person who works in a department of mathematics and ventures into physics, namely V.M. Here's my 2 cent view as a physicist. In one of hi …
Andrea Becker's user avatar