The Coherent Tunnelling with Position–Dependent Mass in a Bistable Potential

1989 ◽  
Vol 12 (3) ◽  
pp. 345-348
Author(s):  
Sen-yue Lou ◽  
Guang-jiong Ni
Keyword(s):  
Bistable Potential ◽  
Dependent Mass ◽  
Position Dependent Mass

scholarly journals AUXILIARY QUANTIZATION CONSTRAINTS ON THE VON ROOS ORDERING-AMBIGUITY AT ZERO BINDING ENERGIES; AZIMUTHALLY SYMMETRIZED CYLINDRICAL COORDINATES

2013 ◽  
Vol 28 (19) ◽  
pp. 1350082
Author(s):  
OMAR MUSTAFA
Keyword(s):  
Binding Energies ◽  
Degree Of Freedom ◽  
Zero Energy ◽  
Cylindrical Coordinates ◽  
Additional Degree ◽  
Quantum Numbers ◽  
Dependent Mass ◽  
Position Dependent Mass

Using azimuthally symmetrized cylindrical coordinates, we report the consequences of zero-energy quantal states on the von Roos Hamiltonian. A position-dependent mass (PDM) M(ρ, φ, z) = bzjρ2υ+1/2 is used. We show that the zero-energy setting not only offers an additional degree of freedom toward feasible separability for the von Roos Hamiltonian, but also manifestly yields auxiliary quantized ambiguity parametric constraints (i.e. the ambiguity parameters are given in terms of quantum numbers).

Constructing physical systems with dynamical symmetry

2014 ◽  
Vol 92 (4) ◽  
pp. 335-340
Author(s):  
Yan Li ◽  
Fu-Lin Zhang ◽  
Rui-Juan Gu ◽  
Jing-Ling Chen ◽  
L.C. Kwek
Keyword(s):  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Dynamical Symmetry ◽  
Algebraic Method ◽  
Quantum Systems ◽  
Physical Systems ◽  
Generalized Systems ◽  
Dependent Mass ◽  
Position Dependent Mass

An approach to constructing quantum systems with dynamical symmetry is proposed. As examples, we construct generalized systems of the hydrogen atom and harmonic oscillator, which can be regarded as the systems with position-dependent mass. They have symmetries that are similar to the corresponding ones, and can be solved by using the algebraic method. We also exhibit an example of the method applied to the noncentral field.

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