ISSN:
1434-601X
Keywords:
PACS. 05.30.-d Quantum statistical mechanics – 02.70.Lq Monte Carlo and statistical methods – 21.60.Ka Monte Carlo models
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We extend the recently presented formalism for Monte Carlo calculations of the partition function, for both even and odd particle number systems (Phys. Rev. C 59, 2500 (1999)), to the calculation of many-body matrix elements of the type 〈ψ| e - βℋ|ψ〉 where |ψ〉 is a many-body state with a definite angular momentum, parity, neutron and proton numbers. For large β such matrix elements are dominated by the lowest eigenstate of the many-body Hamiltonian ℋ, corresponding with a given angular momentum parity and particle number. Emphasis is placed on odd-mass nuclei. Negligible sign fluctuations in the Monte Carlo calculation are found provided the neutron and proton chemical potentials are properly adjusted. The formalism is applied to the J π = 0+ state in 166 Er and to the J π = 9/2-, 13/2+, 5/2- states in 165 Er using the pairing-plus-quadrupole model.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100500070034
Permalink
