scholarly journals THE LEADER OPERATORS OF THE (d+1)-DIMENSIONAL RELATIVISTIC ROTATING OSCILLATORS

2005 ◽  
Vol 20 (16) ◽  
pp. 1251-1259
Author(s):  
ION I. COTĂESCU ◽  
ION I. COTĂESCU ◽  
NICOLINA POP
Keyword(s):  
Shape Invariance ◽  
Quantum Models ◽  
Arbitrary Dimensions

The main pairs of leader operators of the quantum models of relativistic rotating oscillators in arbitrary dimensions are derived. To this end one exploits the fact that these models generate Pöschl–Teller radial problems with remarkable properties of supersymmetry and shape invariance.

KLAUDER–PERELOMOV AND GAZEAU–KLAUDER COHERENT STATES FOR SOME SHAPE INVARIANT POTENTIALS

2002 ◽  
Vol 17 (26) ◽  
pp. 1701-1712 ◽  
Author(s):  
A. CHENAGHLOU ◽  
H. FAKHRI
Keyword(s):  
Distribution Function ◽  
Weight Distribution ◽  
Coherent States ◽  
Mandel Parameter ◽  
Shape Invariance ◽  
Shape Invariant ◽  
Quantum Models ◽  
Invariance Theory ◽  
Poissonian Statistics

Firstly, the solvability of some quantum models like Eckart and Rosen–Morse II are explained on the basis of the shape invariance theory. Then, two generalized types of the Klauder–Perelomov and Gazeau–Klauder coherent states are calculated for the models. By means of calculating the Mandel parameter, it is shown that the weight distribution function of the first type coherent states obeys the Poissonian and super-Poissonian statistics, however, the weight distribution function of the second type coherent states obeys the Poissonian and sub-Poissonian statistics.

scholarly journals New two-dimensional quantum models with shape invariance

2011 ◽  
Vol 52 (2) ◽  
pp. 022106 ◽  
Author(s):  
F. Cannata ◽  
M. V. Ioffe ◽  
D. N. Nishnianidze
Keyword(s):  
Two Dimensional ◽  
Shape Invariance ◽  
Quantum Models

scholarly journals The Kerr-Schild double copy in Lifshitz spacetime

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Gökhan Alkaç ◽  
Mehmet Kemal Gümüş ◽  
Mustafa Tek
Keyword(s):  
General Relativity ◽  
Gauge Theory ◽  
Charge Density ◽  
Localized Source ◽  
Curvature Term ◽  
Constant Charge Density ◽  
Arbitrary Dimensions ◽  
Double Copy ◽  
Theory Solution ◽  
Constant Charge

Abstract The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell’s theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we give a general formulation, where no simplifying assumption about the background metric is made, and show that the gauge theory source is affected by a curvature term that characterizes the deviation of the background spacetime from a constant curvature spacetime. We demonstrate this effect explicitly by studying gravitational solutions with non-zero cosmological constant. We show that, when the background is flat, the constant charge density filling all space in the gauge theory that has been observed in previous works is a consequence of this curvature term. As an example of a solution with a curved background, we study the Lifshitz black hole with two different matter couplings. The curvature of the background, i.e., the Lifshitz spacetime, again yields a constant charge density; however, unlike the previous examples, it is canceled by the contribution from the matter fields. For one of the matter couplings, there remains no additional non-localized source term, providing an example for a non-vacuum gravity solution corresponding to a vacuum gauge theory solution in arbitrary dimensions.

scholarly journals Dyonic objects and tensor network representation

2020 ◽  
pp. 2050336
Author(s):  
A. Belhaj ◽  
Y. El Maadi ◽  
S-E. Ennadifi ◽  
Y. Hassouni ◽  
M. B. Sedra
Keyword(s):  
Particle Physics ◽  
Network Representation ◽  
Tensor Network ◽  
Arbitrary Dimensions

Motivated by particle physics results, we investigate certain dyonic solutions in arbitrary dimensions. Concretely, we study the stringy constructions of such objects from concrete compactifications. Then, we elaborate their tensor network realizations using multistate particle formalism.

Shape invariance and the supersymmetry WKB approximation for a diatomic molecule potential

2000 ◽  
Vol 33 (39) ◽  
pp. 6993-6998 ◽  
Author(s):  
Chun-Sheng Jia ◽  
Jia-Ying Wang ◽  
Su He ◽  
Liang-Tian Sun
Keyword(s):  
Diatomic Molecule ◽  
Wkb Approximation ◽  
Shape Invariance
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