Spin–orbit-coupled BEC in a double-well potential: Quantum energy spectrum and flat band

2015 ◽  
Vol 379 (30-31) ◽  
pp. 1762-1765 ◽  
Author(s):  
Wen-Yuan Wang ◽  
Hui Cao ◽  
Jie Liu ◽  
Li-Bin Fu
Keyword(s):  
Energy Spectrum ◽  
Flat Band ◽  
Spin Orbit ◽  
Quantum Energy ◽  
Double Well Potential

Periodic librations and their effect on the quantum energy spectrum

1990 ◽  
Vol 41 (3) ◽  
pp. 391-402 ◽  
Author(s):  
A.M.Ozorio De Almeida ◽  
M.A.M. De Aguiar
Keyword(s):  
Energy Spectrum ◽  
Quantum Energy

scholarly journals Analytical Investigation of the Single-Particle Energy Spectrum in Magic Nuclei of ⁵⁶Ni and ¹¹⁶Sn

2020 ◽  
Vol 2 (6) ◽  
Author(s):  
E. S. William ◽  
J. A. Obu ◽  
I. O. Akpan ◽  
E. A. Thompson ◽  
E. P. Inyang
Keyword(s):  
Energy Spectrum ◽  
Coulomb Interaction ◽  
Jacobi Polynomials ◽  
Yukawa Potential ◽  
Analytical Investigation ◽  
Particle Energy ◽  
Spin Orbit ◽  
Centrifugal Barrier ◽  
Interaction Terms ◽  
Uvarov Method

The analytical solutions of the radial D-dimensional Schrödinger equation for the Yukawa potential plus spin-orbit and Coulomb interaction terms are presented within the framework of the Nikiforov-Uvarov method by using the Greene-Aldrich approximation scheme to the centrifugal barrier. The energy eigenvalues obtained are employed to calculate the single-energy spectrum of ⁵⁶Ni and ¹¹⁶Sn for distinct quantum states. We have also obtained corresponding normalized wave functions for the magic nuclei manifested in terms of Jacobi polynomials. However, the energy spectrum without Spin-orbit and Coulomb interaction terms precisely matches the quantum mechanical system of the Yukawa potential field at any arbitrary state.

Energy spectrum and wavefunction of electrons in hybrid superconducting nanowires

2016 ◽  
Vol 30 (13) ◽  
pp. 1642008 ◽  
Author(s):  
S. P. Kruchinin
Keyword(s):  
Energy Spectrum ◽  
Energy Levels ◽  
Superconducting Nanowires ◽  
Quantum Energy ◽  
Close Proximity ◽  
Superconducting Nanowire

Recent experiments have fabricated structured arrays. We study hybrid nanowires, in which normal and superconducting regions are in close proximity, by using the Bogoliubov–de Gennes equations for superconductivity in a cylindrical nanowire. We succeed to obtain the quantum energy levels and wavefunctions of a superconducting nanowire. The obtained spectra of electrons remind Hofstadter’s butterfly.

Periodic orbits from the quantum energy spectrum of the wedge billiard

1992 ◽  
Vol 69 (11) ◽  
pp. 1640-1643 ◽  
Author(s):  
T. Szeredi ◽  
D. A. Goodings
Keyword(s):  
Energy Spectrum ◽  
Periodic Orbits ◽  
Quantum Energy

Energy levels of a spin–orbit-coupled Bose–Einstein condensate in a double-well potential

Laser Physics ◽  
2014 ◽  
Vol 25 (2) ◽  
pp. 025501 ◽  
Author(s):  
Wen-Yuan Wang ◽  
Hui Cao ◽  
Shi-Liang Zhu ◽  
Jie Liu ◽  
Li-Bin Fu
Keyword(s):  
Energy Levels ◽  
Einstein Condensate ◽  
Spin Orbit ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Double Well Potential
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