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Properties of the (: ϕ4 :)1 + 1 interaction Hamiltonian
dc.contributor.authorGidas, Basilisen_US
dc.date.accessioned2010-05-06T22:38:34Z
dc.date.available2010-05-06T22:38:34Z
dc.date.issued1974-06en_US
dc.identifier.citationGidas, Basilis (1974). "Properties of the (: ϕ4 :)1 + 1 interaction Hamiltonian." Journal of Mathematical Physics 15(6): 861-866. <http://hdl.handle.net/2027.42/70743>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/70743
dc.description.abstractUsing a convergent expansion of the resolvent of the Hamiltonian H = H0+λV,V = ∫ dx×(x):φ4:(x),g(x) ∊ C0∞,g(x) ≥ 0H=H0+λV,V=∫dx×(x):φ4:(x),g(x)∊C0∞,g(x)⩾0, we give a simple proof of (a) the self‐adjointness of the Hamiltonian and (b) the volume independent lower bound of the vacuum energy per unit volume. Also, we obtain some coupling constant analyticity properties of the Hamiltonian, and the limit (H0+λν−z)−1→(H0−−z)−1(H0+λν−z)−1→(H0−−z)−1, z ∊ρ(H0) in norm as ∣λ∣→0 uniformly in {λ:∣argλ∣<π}{λ:∣argλ∣<π}.en_US
dc.format.extent3102 bytes
dc.format.extent416414 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleProperties of the (: ϕ4 :)1 + 1 interaction Hamiltonianen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Physics, Harrison M. Randall Laboratory of Physics, University of Michigan, Ann Arbor, Michigan 48104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/70743/2/JMAPAQ-15-6-861-1.pdf
dc.identifier.doi10.1063/1.1666744en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
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dc.owningcollnamePhysics, Department of


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