Quantum Monte Carlo diagonalization with angular momentum projection
- 1 June 1996
- journal article
- Published by American Physical Society (APS) in Physical Review C
- Vol. 53 (6) , 2786-2793
- https://doi.org/10.1103/physrevc.53.2786
Abstract
We present a description of the quantum Monte Carlo diagonalization method. This method has been introduced recently as an approach having both the advantage of the quantum Monte Carlo method and that of the direct diagonalization of the Hamiltonian matrix. In addition, the angular momentum projection is implemented so as to remove the degeneracy with regard to magnetic quantum number. We show that with this method the convergence of the eigenvalues is improved and that the wave functions of excited states can be obtained more easily. Moreover, the calculation of transition matrix elements becomes simpler. © 1996 The American Physical Society.Keywords
This publication has 12 references indexed in Scilit:
- Diagonalization of Hamiltonians for Many-Body Systems by Auxiliary Field Quantum Monte Carlo TechniquePhysical Review Letters, 1995
- Projection at Finite TemperatureAnnals of Physics, 1994
- Truncation method for shell model calculationsPhysical Review C, 1994
- Shell model on a random Gaussian basisPhysical Review C, 1994
- Demonstration of the auxiliary-field Monte Carlo approach forsd-shell nucleiPhysical Review C, 1994
- Stochastic diagonalizationPhysics Reports, 1993
- Feynman-x and transverse-momentum dependence of and , D production in 250 GeV -nucleon interactionsPhysical Review Letters, 1992
- The Interacting Boson ModelPublished by Cambridge University Press (CUP) ,1987
- Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problemsCommunications in Mathematical Physics, 1976
- Calculation of Partition FunctionsPhysical Review Letters, 1959