6533b7d6fe1ef96bd1266507

RESEARCH PRODUCT

RPA in wavefunction representation

Y. K. GambhirPaul-gerhard Reinhard

subject

PhysicsMomentum operatorQuantum mechanicsPosition operatorGeneral Physics and AstronomyCircular symmetryCoordinate spaceWave functionRepresentation (mathematics)Random phase approximationLinear subspaceMathematical physics

description

The RPA is formulated in subspaces of coordinate-like and momentum-like I ph operators. This allows to embed a large class of approximative schemes into a generalized RPA treatment. We give a detailed formulation in terms of wavefunctions in coordinate space which is ideally suited to practical programming. In particular, we work out the reduction to spherical tensors in the case of spherical symmetry which is most often the starting point in finite Fermion systems.

https://doi.org/10.1002/andp.19925040804