Solution of the Logunov–Tavkhelidze Equation for the Three-Dimensional Oscillator Potential in the Relativistic Configuration Representation

2018 ◽  
Vol 61 (9) ◽  
pp. 1645-1652 ◽  
Author(s):  
Yu. A. Grishechkin ◽  
V. N. Kapshai
Keyword(s):  
Three Dimensional ◽  
Oscillator Potential ◽  
Configuration Representation ◽  
Relativistic Configuration ◽  
Relativistic Configuration Representation

On Threshold Resummation S-Factor for a System of Two Relativistic Spinor Particles with Arbitrary Masses

2020 ◽  
Vol 23 (4) ◽  
pp. 449-460
Author(s):  
Yu. D. Chernichenko ◽  
L. P. Kaptari ◽  
O. P. Solovtsova
Keyword(s):  
Composite System ◽  
Hamiltonian Formulation ◽  
Quantum Field ◽  
Quasipotential Approach ◽  
Threshold Resummation ◽  
S Factor ◽  
Configuration Representation ◽  
Relativistic Configuration ◽  
The Difference ◽  
Relativistic Configuration Representation

We present a new threshold resummation S-factor obtained for a composite system of two relativistic spin 1/2 particles of arbitrary masses interacting via a Coulomb-like chromodynamical potential. The analysis is performed in the framework of a relativistic quasipotential approach in the Hamiltonian formulation of the quantum field theory in the relativistic configuration representation. The pseudoscalar, vector, and pseudovector systems are considered. The difference in the behavior of the S-factor for these cases is discussed. A connection between the new and the previously obtained S-factors for spinless particles of arbitrary masses and relativistic spinor particles of equal masses is established.

SUPERSYMMETRY AND ACCIDENTAL DEGENERACY

1987 ◽  
Vol 02 (06) ◽  
pp. 391-395 ◽  
Author(s):  
P. CELKA ◽  
V. HUSSIN
Keyword(s):  
Harmonic Oscillator ◽  
Three Dimensional ◽  
Quantum Mechanical ◽  
General Context ◽  
Supersymmetric Model ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Accidental Degeneracy ◽  
Model Hamiltonians

Accidental degeneracies are explained as arising from an underlying supersymmetry associated with the superalgebra osp (2/2, ℝ)⊕ so (3) when the quantum-mechanical potential is a general superposition of a three-dimensional harmonic oscillator potential, a 1/r2-potential and a constant one. Recent supersymmetric model hamiltonians are discussed within our general context.

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