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Feynman propagator and Slater sum for a model Hamiltonian motivated by H + 2 in an intense magnetic field
Author(s) -
Amovilli Claudio,
March Norman H.
Publication year - 2005
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20776
Subject(s) - propagator , hamiltonian (control theory) , feynman diagram , physics , magnetic field , quantum mechanics , mathematical physics , electron , quantum , ground state , quantum electrodynamics , mathematics , mathematical optimization
In an early study of the hydrogen molecule ion in a magnetic field of strength B directed along the internuclear axis, we wrote the ground‐state electronic energy E ( R, B ), with R the internuclear separation, in terms of the electron and current densities ρ(r) and j(r), respectively. Very recent work by Benguria et al. has established a one‐dimensional model Hamiltonian that is asymptotically valid in the limit as the magnetic field strength B tends to infinity. We study a model motivated by this Hamiltonian and derive exact analytical results for the Slater sum and for the Feynman propagator. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006