The cluster expansion for potentials with exponential fall-off
dc.contributor.author | Federbush, Paul G. | en_US |
dc.contributor.author | Brydges, David C. | en_US |
dc.date.accessioned | 2006-09-11T17:52:37Z | |
dc.date.available | 2006-09-11T17:52:37Z | |
dc.date.issued | 1977-02 | en_US |
dc.identifier.citation | Brydges, David; Federbush, Paul; (1977). "The cluster expansion for potentials with exponential fall-off." Communications in Mathematical Physics 53(1): 19-30. <http://hdl.handle.net/2027.42/46515> | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.issn | 0010-3616 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46515 | |
dc.description.abstract | Continuing the work of a previous paper, the Glimm-Jaffe-Spencer cluster expansion from constructive quantum field theory is adapted to treat quantum statistical mechanical systems of particles interacting by potentials that fall off exponentially at large distance. The Hamiltonian H 0 + V need be stable in the extended sense that H 0 +4 V + BN ≧0 for some B . In this situation, with a mild technical condition on the potentials, the cluster expansion converges and the infinite volume limit of the correlation functions exists, at low enough density. These infinite volume correlation functions cluster exponentially. A natural system included in the present treatment is that of matter with the r −1 potential replaced by e −ar / r . The Hamiltonian is stable, but the system would collapse in the absence of the exclusion principle—the potential is unstable. Therefore this system cannot be handled by the classic work of Ginibre, which requires stable potentials. | en_US |
dc.format.extent | 643085 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.title | The cluster expansion for potentials with exponential fall-off | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, The University of Michigan, 48109, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationum | Department of Mathematics, The University of Michigan, 48109, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46515/1/220_2005_Article_BF01609165.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01609165 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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