Maximally even sets and the devil’s-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction

1998 ◽  
Vol 39 (9) ◽  
pp. 4675-4682 ◽  
Author(s):  
Richard J. Krantz ◽  
Jack Douthett ◽  
Steven D. Doty
Keyword(s):  
Phase Diagram ◽  
Devil's Staircase ◽  
Range Interaction ◽  
One Dimensional ◽  
Devil’S Staircase ◽  
Ising Antiferromagnet ◽  
The One

The Phase Diagram of the One-Dimensional Extended Hubbard Model

1995 ◽  
pp. 315-326 ◽  
Author(s):  
H. Q. Lin ◽  
E. R. Gagliano ◽  
D. K. Campbell ◽  
E. H. Fradkin ◽  
J. E. Gubernatis
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Extended Hubbard Model ◽  
One Dimensional ◽  
The One

Phase diagram of the one-dimensional t−J model

1992 ◽  
Vol 82 (7) ◽  
pp. 523-525 ◽  
Author(s):  
K. Hallberg ◽  
C.A. Balseiro
Keyword(s):  
Phase Diagram ◽  
One Dimensional ◽  
The One

Devil's staircase in a one-dimensional model

1984 ◽  
Vol 30 (11) ◽  
pp. 6489-6497 ◽  
Author(s):  
Amitava Banerjea ◽  
P. L. Taylor
Keyword(s):  
Dimensional Model ◽  
Devil's Staircase ◽  
One Dimensional ◽  
Devil’S Staircase

On quantum scattering by δ'(x)} and quasi δ'(x) distributions

2007 ◽  
Vol 85 (9) ◽  
pp. 967-979
Author(s):  
R K Dubey ◽  
V J Menon ◽  
M K Pandey ◽  
D N Tripathi
Keyword(s):  
Quantum Scattering ◽  
Length Scale ◽  
Range Interaction ◽  
One Dimensional ◽  
Transmission Amplitude ◽  
Reflection Amplitude ◽  
Scattering Wave ◽  
Zero Range ◽  
Ordinary Point ◽  
The One

The zero-range interaction U(x) occurring in the one-dimensional, time-independent Schrödinger equation is regarded as a smoothed distribution characterized by a tiny length scale b such that the origin becomes an ordinary point. A neighbourhood around the origin is scanned by defining inner demarcation points a±≡ ±b/N and outer demarcation points b±≡ ±Nb with N >> 1. Then a sequence of simple Lemmas permits (i) construction of a systematic procedure for simultaneously solving the scattering wave function ψ(0) at the origin, its derivative ψ'(0) there, the transmission amplitude B, as well as the reflection amplitude D; and (ii) unambiguous application to scattering by the previously known δ'(x) and newly proposed quasi δ'(x) potentials in the Cauchy representation of various distributions.PACS No.: 03.65.Nk

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