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Simobartz
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- TL;DR Summary
- is it possible to find a (q,p) couple for a dipole in a magnetic field?
In hamiltonian formalism we have the generalized coordinates ##q_i## and the conjugates moments ##p_i##.
For a dipole in a give magnetic field ##B## the Hamiltonian is ##H=-\mu B cos \theta## where ##\theta## is the angle between ##\vec \mu## and ##\vec B##.
Can i consider ##\theta## or ##cos \theta## as a generalized coordinate? if yes what is the associated conjugate momentum ##P_\theta##?
I ask this question because i'd like to compute the partition function for a dipole in a magnetic field starting from ##\frac 1 {\hbar ^f} \int dr^fdp^f exp(-\beta H(r_1...r_f,p_1...p_f))##
For a dipole in a give magnetic field ##B## the Hamiltonian is ##H=-\mu B cos \theta## where ##\theta## is the angle between ##\vec \mu## and ##\vec B##.
Can i consider ##\theta## or ##cos \theta## as a generalized coordinate? if yes what is the associated conjugate momentum ##P_\theta##?
I ask this question because i'd like to compute the partition function for a dipole in a magnetic field starting from ##\frac 1 {\hbar ^f} \int dr^fdp^f exp(-\beta H(r_1...r_f,p_1...p_f))##
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