Abstract
We propose a general method of derivation of the auxiliary constrained Hamiltonian describing a constrained system. The introduction of the constraint operator into the Lagrangian leads, for holonomic constraints, to a simple definition of the auxiliary Hamiltonian by a unitary transformation on the unconstrained Hamiltonian. This immediately gives the constrained parametrized wavefunction once the unconstrained one is known. This method, which gives results different from other methods, is designed to calculate collective kinetic energy terms of the Hamiltonian describing collective motions of N-body systems, but offers in addition, the promise of further development towards a complete general theory of collective motion.
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