scholarly journals NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS

1996 ◽  
Vol 11 (19) ◽  
pp. 1563-1567 ◽  
Author(s):  
BORIS F. SAMSONOV
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Mechanical Model ◽  
State Energy ◽  
Vacuum State ◽  
Quantum Mechanical ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Quantum Mechanical Model ◽  
Higher Derivative

The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is considered.

Noncompact orthosympletic supersymmetry: an example from N = 1, d = 1 supersymmetric quantum mechanics

1990 ◽  
Vol 68 (12) ◽  
pp. 1454-1455 ◽  
Author(s):  
H. A. Schmitt ◽  
A. Mufti
Keyword(s):  
Quantum Mechanics ◽  
Harmonic Oscillator ◽  
Strong Coupling ◽  
Mechanical Model ◽  
Strong Coupling Limit ◽  
Supersymmetric Quantum Mechanics ◽  
Quantum Mechanical ◽  
Quantum Mechanical Model

The supersymmetric quantum mechanical harmonic oscillator, a particular example of an N = 1, d = 1 supersymmetric quantum mechanical model, is used to construct a Hamiltonian exhibiting a noncompact orthosymplectic supersymmetry. This Hamiltonian is the strong-coupling limit of the Jaynes–Cummings model.

scholarly journals ALTERNATIVE CONFORMAL QUANTUM MECHANICS

2011 ◽  
Vol 26 (16) ◽  
pp. 2735-2742 ◽  
Author(s):  
S.-H. HO
Keyword(s):  
Quantum Mechanics ◽  
Conformal Invariance ◽  
Invariant Theory ◽  
Mechanical Model ◽  
Conformal Transformation ◽  
Quantum Mechanical ◽  
Scale Invariant ◽  
One Dimensional ◽  
Quantum Mechanical Model ◽  
Conformal Quantum Mechanics

We investigate a one-dimensional quantum mechanical model, which is invariant under translations and dilations but does not respect the conventional conformal invariance. We describe the possibility of modifying the conventional conformal transformation such that a scale invariant theory is also invariant under this new conformal transformation.

scholarly journals Relativistic Treatment of Quantum Mechanical Gravitational-Harmonic Oscillator Potential

2021 ◽  
Vol 3 (3) ◽  
pp. 42-47
Author(s):  
E. P. Inyang ◽  
B. I. Ita ◽  
E. P. Inyang
Keyword(s):  
Harmonic Oscillator ◽  
Laguerre Polynomials ◽  
Bound State ◽  
Quantum Mechanical ◽  
S Wave ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Klein Gordon ◽  
Uvarov Method ◽  
Equal Scalar

The solutions of the Klein- Gordon equation for the quantum mechanical gravitational plus harmonic oscillator potential with equal scalar and vector potential have been presented using the parametric Nikiforov-Uvarov method. The energy eigenvalues were obtained in relativistic and non-relativistic regime and the corresponding un-normalized eigenfunctions in terms of Laguerre polynomials. The numerical values for the S – wave bound state were obtained.

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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