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Particle-number-conserving functional integrals for angular-momentum and parity-projected many-body matrix elements

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Abstract:

We obtain exact functional integrals expressions for many-body matrix elements of the type ,J,,N,Z|e-|,J,,N,Z, between states having good angular-momentum, parity and particle number, in the case of particle-number-preserving functional integrals expressions for e- are used. Compact expressions are obtained without using angular-momentum projectors.

In the case of an even number of particles, a new proof of positivity for the pairing plus quadrupole model is given, which is angular-momentum and parity projected to J = 0+. It is shown that the propagator in the functional integral is reduced to a Hermitian positive-definite propagator by the use of angular-momentum eigenstates.

Document Type: Miscellaneous

Publication date: August 1, 2001

iop/jphysg/2001/00000027/00000008/art00102
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