Dirac versus reduced space quantisation of simple constrained systems

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Dirac Equation, Function Space, Hamiltonian Functions, Hydrogen Atoms, Operators (Mathematics), Rigid Rotors

Scientific paper

The inequivalence between the Dirac procedure and the reduced space
method for quantizing systems with constraints linear in momenta is
shown. The spectra of the two Hamiltonians are compared for a few simple
finite-dimensional systems.

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