scholarly journals Radial power-law position-dependent mass: cylindrical coordinates, separability and spectral signatures

2011 ◽  
Vol 44 (35) ◽  
pp. 355303 ◽  
Author(s):  
Omar Mustafa
Keyword(s):  
Power Law ◽  
Cylindrical Coordinates ◽  
Spectral Signatures ◽  
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).

Sign in / Sign up

Export Citation Format

Share Document