scholarly journals Bound States and Asymptotic Fields in the Translational-Invariant Lee Model

1974 ◽  
Vol 52 (2) ◽  
pp. 659-687 ◽  
Author(s):  
Y. Kato ◽  
K. Sekine
Keyword(s):  
Bound States ◽  
Lee Model ◽  
Asymptotic Fields

Asymptotic Fields of the Lee Model

1969 ◽  
Vol 10 (8) ◽  
pp. 1326-1339
Author(s):  
Stanley Jernow ◽  
Emil Kazes
Keyword(s):  
Lee Model ◽  
Asymptotic Fields

scholarly journals REVIEW OF THE N-QUANTUM APPROACH TO BOUND STATES

2011 ◽  
Vol 26 (06) ◽  
pp. 935-945 ◽  
Author(s):  
O. W. GREENBERG
Keyword(s):  
Hydrogen Atom ◽  
Bound States ◽  
Bound State ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Asymptotic Field ◽  
Quantum Approach ◽  
Future Work ◽  
Asymptotic Fields

We describe a method of solving quantum field theories using operator techniques based on the expansion of interacting fields in terms of asymptotic fields. For bound states, we introduce an asymptotic field for each (stable) bound state. We choose the nonrelativistic hydrogen atom as an example to illustrate the method. Future work will apply this N-quantum approach to relativistic theories that include bound states in motion.

Zur Interpretierbarkeit einer Quantentheorie mit indefiniter Metrik

1962 ◽  
Vol 17 (5) ◽  
pp. 382-399
Author(s):  
Rolf Hüper
Keyword(s):  
Boundary Condition ◽  
Quantum Theory ◽  
Theoretical Model ◽  
Bound States ◽  
Indefinite Metric ◽  
Probability Interpretation ◽  
Lee Model ◽  
Field Theoretical Model

A special field theoretical model is constructed to study the problem of probability interpretation of a quantum theory with indefinite metric. The model is based on the HEISENBERG dipole-ghost version of the LEE model, but with an additional V Θ-interaction. This interaction yields bound states in the sector N+2 Θ. One gets a situation similar to a case studied by PAULI and KÄLLÉN. It seems that the arising difficulty can be solved only by means of a boundary condition suggested by BOGOLIUBOV. However, such a condition excludes the possibility of interpreting our bound states as “physically realizable” states.

Vertex Poles and Bound States in the Lee Model

1966 ◽  
Vol 142 (4) ◽  
pp. 1047-1051 ◽  
Author(s):  
I. S. Gerstein
Keyword(s):  
Bound States ◽  
Lee Model

scholarly journals SPECTRAL AND SCATTERING THEORY FOR SOME ABSTRACT QFT HAMILTONIANS

2009 ◽  
Vol 21 (03) ◽  
pp. 373-437 ◽  
Author(s):  
C. GÉRARD ◽  
A. PANATI
Keyword(s):  
Scattering Theory ◽  
Bound States ◽  
Fock Space ◽  
Asymptotic Completeness ◽  
Decay Properties ◽  
Abstract Class ◽  
Mourre Estimate ◽  
Spectral And Scattering Theory ◽  
Wick Polynomial ◽  
Asymptotic Fields

We introduce an abstract class of bosonic QFT Hamiltonians and study their spectral and scattering theories. These Hamiltonians are of the form H = dΓ(ω) + V acting on the bosonic Fock space Γ(𝔥), where ω is a massive one-particle Hamiltonian acting on 𝔥 and V is a Wick polynomial Wick(w) for a kernel w satisfying some decay properties at infinity. We describe the essential spectrum of H, prove a Mourre estimate outside a set of thresholds and prove the existence of asymptotic fields. Our main result is the asymptotic completeness of the scattering theory, which means that the CCR representations given by the asymptotic fields are of Fock type, with the asymptotic vacua equal to the bound states of H. As a consequence, H is unitarily equivalent to a collection of second quantized Hamiltonians.

Recent Radiative and Collisional Atomic Data of Astrophysical Interest

1988 ◽  
Vol 102 ◽  
pp. 129-132
Author(s):  
K.L. Baluja ◽  
K. Butler ◽  
J. Le Bourlot ◽  
C.J. Zeippen
Keyword(s):  
Mass Production ◽  
Bound States ◽  
Physical Models ◽  
Impact Excitation ◽  
Electron Impact Excitation ◽  
Atomic Data ◽  
Isoelectronic Sequence ◽  
Astrophysical Interest ◽  
Radiative Transitions ◽  
Forbidden Transitions

SummaryUsing sophisticated computer programs and elaborate physical models, accurate radiative and collisional atomic data of astrophysical interest have been or are being calculated. The cases treated include radiative transitions between bound states in the 2p4and 2s2p5configurations of many ions in the oxygen isoelectronic sequence, the photoionisation of the ground state of neutral iron, the electron impact excitation of the fine-structure forbidden transitions within the 3p3ground configuration of CℓIII, Ar IV and K V, and the mass-production of radiative data for ions in the oxygen and fluorine isoelectronic sequences, as part of the international Opacity Project.

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