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visits member for 2 years, 1 month
seen Apr 21 at 11:13

I'm a phd student in University of Toronto (math department), my interests are: commutative algebra, homological algebra and algebraic geometry.


Apr
10
awarded  Yearling
Apr
9
asked Anti-symmetric forms on Dirac spinors
Mar
30
awarded  Scholar
Mar
30
accepted The BRST construction for YM with or without auxiliary field
Mar
29
asked The BRST construction for YM with or without auxiliary field
Nov
7
comment Dirac equation as Hamiltonian system
Yes, this is constrained system. I'm trying to extend phase space to super space and get super Poisson bracket that would give a meaningful answer. By the way, everything you wrote is classical field theory, because your spinors are fields on space-time not operators (I look at the situation from QFT point of view, not QM).
Nov
7
comment Dirac equation as Hamiltonian system
Why you ignore field $\bar{\Psi}$ in the bracket?
Nov
6
comment Dirac equation as Hamiltonian system
@juanrga I mean Hamiltonian formalism for fields: if you have Lagrangian density you can ask what is Hamiltonian density and could you rewrite Euler-Lagrange equations as Hamiltonian equations with respect to some bracket on functionals on fields.
Nov
6
awarded  Editor
Nov
6
revised Dirac equation as Hamiltonian system
added 19 characters in body
Nov
5
comment Dirac equation as Hamiltonian system
Ok, now comes my question: how you define $\{\mathcal{H},\mathcal{F}\}$? For two functionals on spinors.
Nov
5
comment Dirac equation as Hamiltonian system
This is quantum picture, my question is about classical fields.
Nov
5
asked Dirac equation as Hamiltonian system
Jul
14
awarded  Supporter
Jul
7
awarded  Student
Jul
7
asked Dirac equation as canonical quantization?