separable potentials
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scholarly journals Adding potentials to superintegrable systems with symmetry

2021 ◽  
Vol 477 (2248) ◽  
Author(s):  
Allan P. Fordy ◽  
Qing Huang
Keyword(s):  
Kepler Problem ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Potential Functions ◽  
Conformally Flat ◽  
Coordinate Systems ◽  
Separable Potentials ◽  
Superintegrable Systems ◽  
Three Dimensional Coordinate ◽  
Three Dimensional Space

In previous work, we have considered Hamiltonians associated with three-dimensional conformally flat spaces, possessing two-, three- and four-dimensional isometry algebras. Previously, our Hamiltonians have represented free motion, but here we consider the problem of adding potential functions in the presence of symmetry. Separable potentials in the three-dimensional space reduce to 3 or 4 parameter potentials for Darboux–Koenigs Hamiltonians. Other three-dimensional coordinate systems reveal connections between Darboux–Koenigs and other well-known super-integrable Hamiltonians, such as the Kepler problem and isotropic oscillator.

Separable Potentials Model for Atoms and Molecules in Strong Ultrashort Laser Pulses

2019 ◽  
pp. 221-242
Author(s):  
Yu. V. Popov ◽  
A. Galstyan ◽  
B. Piraux ◽  
P. F. O’Mahony ◽  
F. Mota-Furtado ◽  
...  
Keyword(s):  
Laser Pulses ◽  
Ultrashort Laser Pulses ◽  
Atoms And Molecules ◽  
Separable Potentials ◽  
Ultrashort Laser

Approximate Quantum Dynamics using Ab Initio Classical Separable Potentials: Spectroscopic Applications

2017 ◽  
Vol 13 (3) ◽  
pp. 982-991 ◽  
Author(s):  
Barak Hirshberg ◽  
Lior Sagiv ◽  
R. Benny Gerber
Keyword(s):  
Ab Initio ◽  
Quantum Dynamics ◽  
Separable Potentials

scholarly journals Pigmy resonances, transfer, and separable potentials

2017 ◽  
Author(s):  
C. A. Bertulani ◽  
A. S. Kadyrov ◽  
A. Kruppa ◽  
T. V. Nhan Hao ◽  
A. M. Mukhamedzhanov ◽  
...  
Keyword(s):  
Separable Potentials

scholarly journals Radiative nucleon capture with quasi-separable potentials

2016 ◽  
Vol 43 (12) ◽  
pp. 125203 ◽  
Author(s):  
Shubhchintak ◽  
C A Bertulani ◽  
A M Mukhamedzhanov ◽  
A T Kruppa
Keyword(s):  
Separable Potentials

scholarly journals Separable Potentials for (d,p) Reaction Calculations

2016 ◽  
Vol 724 ◽  
pp. 012014
Author(s):  
Ch. Elster ◽  
L. Hlophe ◽  
V. Eremenko ◽  
F.M. Nunes ◽  
I.J. Thompson ◽  
...  
Keyword(s):  
Separable Potentials

scholarly journals Bound states ofPT-symmetric separable potentials

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
Carl M. Bender ◽  
Hugh F. Jones
Keyword(s):  
Bound States ◽  
Separable Potentials

Ionization of atoms by strong infrared fields: Solution of the time-dependent Schrödinger equation in momentum space for a model based on separable potentials

2011 ◽  
Vol 83 (1) ◽  
Author(s):  
H. M. Tetchou Nganso ◽  
Yu. V. Popov ◽  
B. Piraux ◽  
J. Madroñero ◽  
M. G. Kwato Njock
Keyword(s):  
Schrödinger Equation ◽  
Momentum Space ◽  
Schrodinger Equation ◽  
Time Dependent ◽  
Model Based ◽  
Separable Potentials

Application of the exact quantization rule for some noncentral separable potentials

2008 ◽  
Vol 86 (9) ◽  
pp. 1083-1089 ◽  
Author(s):  
Y Kasri ◽  
L Chetouani
Keyword(s):  
Energy Spectrum ◽  
Quantization Rule ◽  
Exact Quantization Rule ◽  
Separable Potentials ◽  
03.65 Ge

The energy spectrum of some noncentral separable potentials are obtained using the exact quantization rule in r and θ dimensions. The results are consistent with those obtained by other methods. PACS Nos.: 03.65.Ca, 03.65.Ge

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