One‐dimensional hydrogen atom in an infinite square well

1982 ◽  
Vol 50 (6) ◽  
pp. 563-564 ◽  
Author(s):  
I. Richard Lapidus
Keyword(s):  
Hydrogen Atom ◽  
One Dimensional ◽  
Square Well

First Steps in Quantum Physics: Basics – 2. Model Examples (Square Wells)

2021 ◽  
Vol 30 (2) ◽  
pp. 164-188
Author(s):  
Mihail Avramov ◽  
◽  
Dimitar Marvakov ◽  
Keyword(s):  
Hydrogen Atom ◽  
Metal Surface ◽  
Quantum Physics ◽  
Finite Depth ◽  
Accurate Solution ◽  
One Dimensional ◽  
Square Well

Cases of a particle in a one-dimensional square well – infinitely deep and with finite depth – are also analyzed in detail. As an example, the adsorption of a hydrogen atom on a metal surface by a qualitative and accurate solution of the problem is considered.

Vacuum effects for a one-dimensional “hydrogen atom” with Z > Zcr

2017 ◽  
Vol 193 (2) ◽  
pp. 1647-1674 ◽  
Author(s):  
Yu. S. Voronina ◽  
A. S. Davydov ◽  
K. A. Sveshnikov
Keyword(s):  
Hydrogen Atom ◽  
One Dimensional ◽  
Vacuum Effects

scholarly journals On the symmetry of a one-dimensional hydrogen atom

2018 ◽  
Vol 59 (10) ◽  
pp. 102106 ◽  
Author(s):  
Boris Ivetić
Keyword(s):  
Hydrogen Atom ◽  
One Dimensional

One-Dimensional Jost Solutions: The S-Matrix Revisited

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Boundary Conditions ◽  
Transmission Coefficient ◽  
Radial Equation ◽  
Scattering Problems ◽  
One Dimensional ◽  
S Matrix ◽  
Jost Functions ◽  
Jost Solutions ◽  
Square Well ◽  
Matrix Problems

This chapter examines the properties of one-dimensional Jost solutions for S-matrix problems. It first considers how the left–right transmission and reflections coefficients can be expressed in terms of the elements of the S-matrix for one-dimensional scattering problems on, focusing on poles of the transmission coefficient. It then uses the radial equation to revisit the problem of the square-well potential from the perspective of the Jost solution, with Jost boundary conditions at r = 0 and as r approaches infinity. It also presents the notations for the Jost functions and the S-matrix before discussing the problem of scattering from a constant spherical inhomogeneity.

scholarly journals A Distributional Approach for the One-Dimensional Hydrogen Atom

2019 ◽  
Vol 7 ◽  
Author(s):  
Marcos Calçada ◽  
José T. Lunardi ◽  
Luiz A. Manzoni ◽  
Wagner Monteiro ◽  
Marciano Pereira
Keyword(s):  
Hydrogen Atom ◽  
One Dimensional ◽  
The One

One-dimensional twice kicked hydrogen atom

2004 ◽  
Vol 78 (7-8) ◽  
pp. 807-808 ◽  
Author(s):  
I. Bersons ◽  
R. Veilande
Keyword(s):  
Hydrogen Atom ◽  
One Dimensional

scholarly journals Effective one-dimensional square well for two-dimensional quantum wires

1992 ◽  
Vol 45 (20) ◽  
pp. 11960-11967 ◽  
Author(s):  
Hua Wu ◽  
D. W. L. Sprung ◽  
J. Martorell
Keyword(s):  
Quantum Wires ◽  
Two Dimensional ◽  
One Dimensional ◽  
Square Well

Relativistic effects in one-dimensional hydrogen atom

2012 ◽  
Vol 9 (6-7) ◽  
pp. 488-495 ◽  
Author(s):  
K. A. Sveshnikov ◽  
D. I. Khomovskii
Keyword(s):  
Hydrogen Atom ◽  
Relativistic Effects ◽  
One Dimensional
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