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Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
Lie-algebraic interpretation the Coulomb-Rosochatius n dimensions Mathematical Physics
2011/9/20
Abstract: The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is concerned...
Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling
Lie-algebra Non-Hermitian quantum mechanics PT-symmetry Multidimensional models Harmonic oscillator Exactly solvable
2011/10/8
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
The Lie Algebraic Significance of Symmetric Informationally Complete Measurements
symmetric informationally complete positive operator valued measures finite dimensions
2010/3/10
Examples of symmetric informationally complete positive operator valued measures (SIC-POVMs) have been constructed in every dimension less than or equal to 67. However, it remains an open question whe...
Lie algebraic analysis and simulation of high-current pulsed beam transport in a solenoidal lens
solenoidal lens Lie algebraic space charge effect nonlinearity
2009/12/24
Recent calculations of the transport of a high-current beam in a solenoidal lens have made progress to the second order with the Lie algebraic method. A review of the theory and our simulation to rea...
Lie Algebraic Structures and Integrability of Long-Short WaveEquation in (2+1) Dimensions
prolongation approach hidden symmetry integrability
2007/8/15
2004Vol.42No.6pp.821-823DOI:
Lie Algebraic Structures and Integrability of Long-Short WaveEquation in (2+1) Dimensions
ZHAO Xue-Qing and LÜ Jing-Fa
College of Physi...
Studies of Rigid Rotor-Rigid Surface Scattering in Dynamical Lie Algebraic Method
Lie algebraic method scattering rigid rotor
2007/8/15
2004Vol.41No.3pp.357-361DOI:
Studies of Rigid Rotor-Rigid Surface Scattering in Dynamical Lie Algebraic Method
WANG Xiao-Yan and DING Shi-Liang
School of Physical and Mi...