# Tagged Questions

In phase-space classical Hamiltonian mechanics, the Poisson bracket is an antisymmetric binary operation acting like a derivative.

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### Fermionic Poisson bracket

I'd like to understand the Poisson bracket for fermions in classical field theory defined on a cylinder (with coordinates $(t,x)$, $x$ being the compact direction) and propagating on $T^n$ with ...
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### How do I obtain the SUSY Transformations from Poisson Brackets?

In Friedman's and Van Proyen's Supergravity textbook it is explained how one can get the supersymmetry transformations using the conserved currents. Specifically this is in section 6 where we are ...
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If one were to formulate quantum mechanics in an arbitrary canonical coordinate system, does he impose canonical commutation relations using Dirac's recipe? $$[\hat{Q}_i,\hat{P}_j]~=~i\hbar~\{q_i,p_j\... 1answer 715 views ### Canonical transformation and Hamilton's equations I was trying to prove, that for a transformation to be Canonical, one must have a relationship:$$ \left\{ Q_a,P_i \right\} = \delta_{ai} $$Where Q_a = Q_a(p_i,q_i) and P_a = P_a(p_i,q_i). Now ... 1answer 83 views ### Non-holonomic constraints in Dirac-Bergmann theory The Dirac-Bergmann algorithm effectively isolates the physical degrees of freedom of a system, by changing from Poisson brackets \{\cdot,\cdot\}_\mathrm{PB} to Dirac brackets \{\cdot,\cdot\}_\... 1answer 146 views ### Poisson brackets and magnetic field [closed] I'm a maths student trying to teach myself some physics so sorry if I'm missing something simple here. I think the main problem is lack of experience with the Levi-Cevita symbol. We have a particle ... 1answer 196 views ### Landau's Problem - Poisson bracks of a spherical symmetry function and angular momuntum in z axis In landau's Mechanics, there's a problem: I think, if the function has the property spherical symmetry, or: \phi(r,p)=\phi(-r,-p) The form suggested by Landau follows this property, but I can't ... 1answer 67 views ### Hamiltonian from a differential equation In my differential equations course an example is given from the Lotka-Volterra system of equations:$$ x'=x-xyy'=-\gamma y+xy.\tag{1}$$This is then transformed by the substitution: q=\ln x, ... 1answer 90 views ### Dirac bracket for a constrained particle I am trying to work through a simple example of how to use the Dirac bracket from the following paper. In particular section 4 where the authors consider a constrained particle with the following ... 1answer 115 views ### Poisson brackets in curved spacetime The time evolution of any field \phi is given in terms of the Poisson bracket with the Hamiltonian,$$ \frac{\partial\phi}{\partial t} = \{\phi, H\}.  How does this relation change in curved ...
Let's have some Hamiltonian which involves the set of first class constraints $\varphi$ and set of constraints $\kappa$, which play role of canonical conjugated momentums for $\varphi$,. They're ...