ISSN:
1572-9613
Keywords:
quantum anharmonic crystal
;
ground state
;
path integral
;
cluster expansion
;
ultracontractive semigroup
;
ultracontractivity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The quantum anharmonic crystal is made up of a large number of multidimensional anharmonic oscillators arranged in a periodic spatial lattice with a nearest neighbor coupling. If the coupling coefficient is sufficiently small, then there is a convergent expansion for the ground state of the crystal. The estimates on the convergence are independent of the size of the crystal. The proof uses the path integral representation of the ground state in terms of diffusion processes. The convergence of the cluster expansion depends on the ergodicity properties of these processes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004588002407
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