scholarly journals An introduction to the inverse quantum bound-state problem in one dimension

2014 ◽  
Vol 82 (7) ◽  
pp. 674-680
Author(s):  
Thomas D. Gutierrez
Keyword(s):  
Bound State ◽  
One Dimension ◽  
State Problem ◽  
Bound State Problem

On the number of bound states of semirelativistic Hamiltonian with Dirac delta potentials in one dimension

2018 ◽  
Vol 96 (11) ◽  
pp. 1235-1241
Author(s):  
Fatih Erman
Keyword(s):  
Bound States ◽  
Bound State ◽  
One Dimension ◽  
Sufficient Condition ◽  
Explicit Criterion ◽  
State Problem ◽  
Dirac Delta ◽  
Bound State Problem

We study the bound state problem for semirelativistic N attractive Dirac δ-potentials in one dimension. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it.

Singular integral equations in the bound-state problem

1965 ◽  
Vol 35 (3) ◽  
pp. 913-932 ◽  
Author(s):  
G. Cosenza ◽  
L. Sertorio ◽  
M. Toller
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Bound State ◽  
State Problem ◽  
Bound State Problem

Bound-state problem of theNΔandNΔΔsystems

1999 ◽  
Vol 59 (1) ◽  
pp. 46-52 ◽  
Author(s):  
R. D. Mota ◽  
A. Valcarce ◽  
F. Fernández ◽  
H. Garcilazo
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Note on the Bound State Problem

1955 ◽  
Vol 13 (3) ◽  
pp. 338-340
Author(s):  
Takao Okabayashi
Keyword(s):  
Bound State ◽  
State Problem ◽  
Bound State Problem

scholarly journals Inverse Methods and Relative Nuclear Radii

1984 ◽  
Vol 39 (6) ◽  
pp. 603-604 ◽  
Author(s):  
E. F. Hefter ◽  
I. A. Mitropolsky
Keyword(s):  
Analytical Solutions ◽  
Bound State ◽  
Inverse Methods ◽  
Binding Energies ◽  
The Self ◽  
State Problem ◽  
Full Expression ◽  
Bound State Problem

Inverse methods are applied to the nuclear bound-state problem. Considering only the self-interactions of these states analytical solutions results for potentials and densities. The simplest possible approximation to the full expression yields immediately ⊿R0i2 ≡ 〈r2 (Ai)〉 - 〈r2 (A0)〉 ~ - [B (Ai) - B (A0)] for the differences in the squared nuclear radii as functions of the respective binding energies per nucleon, B (Ai).

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