Quadratic Fermion Interaction Hamiltonian
dc.contributor.author | Gidas, Basilis | en_US |
dc.date.accessioned | 2010-05-06T22:19:31Z | |
dc.date.available | 2010-05-06T22:19:31Z | |
dc.date.issued | 1971-07 | en_US |
dc.identifier.citation | Gidas, Basilis (1971). "Quadratic Fermion Interaction Hamiltonian." Journal of Mathematical Physics 12(7): 1414-1419. <http://hdl.handle.net/2027.42/70542> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/70542 | |
dc.description.abstract | The interaction Hamiltonian λ ∫ :(0)(x)ψ(0)(x):g(x)dsx,g(x) ∊ S(Rs)λ∫:ψ̄(0)(x)ψ(0)(x):g(x)dsx,g(x)∊S(Rs) is studied. An ultraviolet cutoff is introduced. We remove this cutoff, and take the limit g → 1 in S(Rs)S(Rs), by working with the Heisenberg fields. The limiting fields are well defined on the Fock space associated with the bare mass m0. In the limit we get a new representation of the canonical anticommutation relations which is given by a (generalized) Bogoliubov transformation. The new representation is not always unitarily equivalent to the bare mass Fock representations. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 332853 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Quadratic Fermion Interaction Hamiltonian | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Physics Department, University of Michigan, Ann Arbor, Michigan 48104 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70542/2/JMAPAQ-12-7-1414-1.pdf | |
dc.identifier.doi | 10.1063/1.1665749 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
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dc.owningcollname | Physics, Department of |
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