On Green's functions, propagators, and sturmians for the nonrelativistic coulomb problem
dc.contributor.author | Blinder, S. M. | en_US |
dc.date.accessioned | 2006-04-28T16:34:05Z | |
dc.date.available | 2006-04-28T16:34:05Z | |
dc.date.issued | 1984-03-01 | en_US |
dc.identifier.citation | Blinder, S. M. (1984)."On Green's functions, propagators, and sturmians for the nonrelativistic coulomb problem." International Journal of Quantum Chemistry 26(S18): 293-307. <http://hdl.handle.net/2027.42/37978> | en_US |
dc.identifier.issn | 0020-7608 | en_US |
dc.identifier.issn | 1097-461X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/37978 | |
dc.description.abstract | Recent progress in the mathematical physics and quantum chemistry of Coulomb Green's functions is summarized. Analogy with the defining relation for the Green's function has led to a finite model for the Fermi contact interaction which avoids spurious divergences in second-order perturbation calculations. The Hamilton-Jacobi mechanics of the Coulomb problem is reviewed. A compact parametrization for Hamilton's principal and characteristic functions provides a key element in further developments. These include a semiclassical representation for the Coulomb propagator in Feynman's formalism and a new propagator in the domain of Coulomb Sturmian eigenstates. In projected applications, approximate many-electron Green's functions constructed from combinations of one-particle Coulomb propagators provide a basis for computation of atomic and molecular eigenvalue spectra. | en_US |
dc.format.extent | 637049 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | John Wiley & Sons, Inc. | en_US |
dc.subject.other | Computational Chemistry and Molecular Modeling | en_US |
dc.subject.other | Atomic, Molecular and Optical Physics | en_US |
dc.title | On Green's functions, propagators, and sturmians for the nonrelativistic coulomb problem | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Chemical Engineering | en_US |
dc.subject.hlbsecondlevel | Chemistry | en_US |
dc.subject.hlbsecondlevel | Materials Science and Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/37978/1/560260828_ftp.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1002/qua.560260828 | en_US |
dc.identifier.source | International Journal of Quantum Chemistry | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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