A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Extended Coupled Cluster Method: Quantum Many-Body Theory Made Classical
Abstract We focus attention in this paper on how the general quantum many-body problem can be cast in the form of a variational principle for a specified action functional. After some preliminary discussion in Section 2 concerning the algebra of the many-body operators and the development of a convenient shorthand notation to describe it, we show in Section 3 how each of the configuration-interaction (CI)1 method, the normal coupled cluster method (CCM),2–6 and an extended version of the CCM,7,8 can be derived by specific parametrisations of the ground-state bra and ket wavefunctions in the action functional. In each case we make contact and comparison with time-independent perturbation theory, and we discuss the various “tree-diagram” structures that emerge in each case.
Extended Coupled Cluster Method: Quantum Many-Body Theory Made Classical
Abstract We focus attention in this paper on how the general quantum many-body problem can be cast in the form of a variational principle for a specified action functional. After some preliminary discussion in Section 2 concerning the algebra of the many-body operators and the development of a convenient shorthand notation to describe it, we show in Section 3 how each of the configuration-interaction (CI)1 method, the normal coupled cluster method (CCM),2–6 and an extended version of the CCM,7,8 can be derived by specific parametrisations of the ground-state bra and ket wavefunctions in the action functional. In each case we make contact and comparison with time-independent perturbation theory, and we discuss the various “tree-diagram” structures that emerge in each case.
Extended Coupled Cluster Method: Quantum Many-Body Theory Made Classical
Arponen, J. (author) / Bishop, R. F. (author) / Pajanne, E. (author)
Condensed Matter Theories ; 357-372
1987-01-01
16 pages
Article/Chapter (Book)
Electronic Resource
English
| TIBKAT | 1962
Quantum Many-Body Systems: Orthogonal Coordinates
| Springer Verlag | 1990
A Periodic Small-Cluster Approach to Many-Body Problems
| Springer Verlag | 1988
Extended Coupled Cluster Techniques for Excited States: Applications to Quasispin Models
| Springer Verlag | 1990
Quantum Liquid Films: A Generic Many-Body Problem
| Springer Verlag | 1990