scholarly journals Exact ground state of the Frenkel-Kontorova model with repeated parabolic potential. II. Numerical treatment

1997 ◽  
Vol 56 (14) ◽  
pp. 8631-8637 ◽  
Author(s):  
T. Scheidsteger ◽  
H. Urbschat ◽  
R. B. Griffiths ◽  
H. J. Schellnhuber
Keyword(s):  
Ground State ◽  
Numerical Treatment ◽  
Parabolic Potential ◽  
Exact Ground State ◽  
Kontorova Model

scholarly journals Exact ground state of the Frenkel-Kontorova model with repeated parabolic potential. I. Basic results

1997 ◽  
Vol 56 (14) ◽  
pp. 8623-8630 ◽  
Author(s):  
R. B. Griffiths ◽  
H. J. Schellnhuber ◽  
H. Urbschat
Keyword(s):  
Ground State ◽  
Parabolic Potential ◽  
Exact Ground State ◽  
Kontorova Model

Exact Ground State Solution for Anyons with spin-$\frac {1}{2}$

1992 ◽  
Vol 17 (1) ◽  
pp. 107-110
Author(s):  
Shun-Qing Shen ◽  
J. Cai ◽  
Rui-Bao Tao
Keyword(s):  
Ground State ◽  
Ground State Solution ◽  
State Solution ◽  
Exact Ground State

The exact ground state of a Hamiltonian lattice gauge theory

1985 ◽  
Vol 2 (9) ◽  
pp. 409-412 ◽  
Author(s):  
Guo Shuo-hong ◽  
Liu Jin-ming ◽  
Chen Qi-zhou
Keyword(s):  
Gauge Theory ◽  
Ground State ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Exact Ground State ◽  
Hamiltonian Lattice

The influences of parabolic potential and magnetism on strongly coupled polaron characteristics within asymmetric Gaussian quantum wells

2021 ◽  
Author(s):  
Saren Gaowa ◽  
Yan-Bo Geng ◽  
Zhao-Hua Ding ◽  
Jing-Lin Xiao
Keyword(s):  
Magnetic Field ◽  
Quantum Wells ◽  
Barrier Height ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Cyclotron Frequency ◽  
Strongly Coupled ◽  
Parabolic Potential ◽  
Do So

In this research, the effects of magnetism and parabolic potential on strongly coupled polaron characteristics within asymmetric Gaussian quantum wells (AGQWs) were investigated. To do so, the following six parameters were studied, temperature, AGQW barrier height, Gaussian confinement potential (GCP) width, confinement strengths along the directions of [Formula: see text] and [Formula: see text], as well as magnetic field cyclotron frequency. The relationships among frequency oscillation, AGQW parameters and polaron ground state energy in RbCl crystal were studied based on linear combination operator and Lee–Low–Pines unitary transformation. It was concluded that ground state energy absolute value was decreased by increasing GCP width and temperature, and increased with the increase of confinement strength along [Formula: see text] and [Formula: see text] directions, cyclotron frequency of magnetic field and barrier height of AGQW. It was also found that vibrational frequency was increased by enhancing confinement strengths along the directions of [Formula: see text] and [Formula: see text], magnetic field cyclotron frequencies, barrier height AGQW and temperature and decreased with the increase of GCP width.

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