First-class constraint: Difference between revisions

Revision as of 16:09, 30 October 2013

Revision as of 16:18, 30 October 2013

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* N. K. Falck and A. C. Hirshfeld, 1983, "Dirac-bracket quantisation of a constrained nonlinear system: the rigid rotator", Eur. J. Phys. 4 p. 5. {{doi|10.1088/0143-0807/4/1/003}} (Note that the form of the quantum momentum in this paper is dubious.)

* T. Homma, T. Inamoto, and T. Miyazaki, 1990, "Schrödinger equation for the nonrelativistic particle constrained on a hypersurface in a curved space ", Phys. Rev. D 42, p.&nbsp;2049. http://prd.aps.org/abstract/PRD/v42/i6/p2049_1. (Tote that the Hamiltonian suggested by the authors from second form of the constraint, (i.e., the time derivative of the <math> f(x)=0 </math> ), is not completely compatible with the formalism of Hamiltonian mechanics.)

* T. Homma, T. Inamoto, and T. Miyazaki, 1990, "Schrödinger equation for the nonrelativistic particle constrained on a hypersurface in a curved space ", Phys. Rev. D 42, p.&nbsp;2049. http://prd.aps.org/abstract/PRD/v42/i6/p2049_1. (Tote that the Hamiltonian suggested by the authors from second form of the constraint, (i.e., the time derivative of the <math> f(x)=0 </math> ), is not completely compatible with the formalism of Hamiltonian mechanics.)

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[[Category:Classical mechanics]]