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quant-ph2003★ 3 cited
Lagrangian in quantum mechanics is a connection one-form
Pankaj Sharan, Pravabati Chingangbam
We recast Dirac's Lagrangian in quantum mechanics in the language of vector bundles and show that the action is an operator-valued connection one-form. Phases associated with chang…
quant-ph1999
Reduced phase space quantization
P. Chingangbam, Pankaj Sharan
We examine two singular Lagrangian systems with constraints which apparently reduce the phase space to a 2-dimensional sphere and a 2-dimensional hyperboloid. Rigorous constraint a…
quant-ph1998
Hamiltonian path integral quantization in polar coordinates
A. K. Kapoor, Pankaj Sharan
Using a scheme proposed earlier we set up Hamiltonian path integral quantization for a particle in two dimensions in plane polar coordinates.This scheme uses the classical Hamilton…