scholarly journals ALTERNATIVE CONFORMAL QUANTUM MECHANICS

2011 ◽  
Vol 26 (16) ◽  
pp. 2735-2742 ◽  
Author(s):  
S.-H. HO

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.

1996 ◽  
Vol 11 (19) ◽  
pp. 1563-1567 ◽  
Author(s):  
BORIS F. SAMSONOV

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.


2007 ◽  
Vol 22 (37) ◽  
pp. 2791-2797
Author(s):  
S. S. AFONIN

A one-dimensional quantum mechanical model possessing mass-gap, a gapless excitation, and an approximate parity doubling of energy levels is constructed based on heuristic QCD-inspired arguments. The model may serve for illustrative purposes when considering the related dynamical phenomena in particle and nuclear physics.


2001 ◽  
Vol 120 (1-3) ◽  
pp. 1009-1010
Author(s):  
A. Ardavan ◽  
J. Singleton ◽  
S.J. Blundell

1990 ◽  
Vol 68 (12) ◽  
pp. 1454-1455 ◽  
Author(s):  
H. A. Schmitt ◽  
A. Mufti

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.


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