An exact solution of the Lippmann–Schwinger equation in one dimension

2003 ◽  
Vol 71 (1) ◽  
pp. 64-71 ◽  
Author(s):  
T. R. Yang ◽  
M. M. Dvoynenko ◽  
A. V. Goncharenko ◽  
V. Z. Lozovski
Keyword(s):  
Exact Solution ◽  
One Dimension

Exact solution of a deterministic sandpile model in one dimension

1991 ◽  
Vol 67 (12) ◽  
pp. 1479-1481 ◽  
Author(s):  
S.-C. Lee ◽  
N. Y. Liang ◽  
W.-J. Tzeng
Keyword(s):  
Exact Solution ◽  
One Dimension ◽  
Sandpile Model

scholarly journals Exact solution of a class of three-body scattering problems in one dimension

1998 ◽  
Vol 241 (1-2) ◽  
pp. 14-18 ◽  
Author(s):  
Avinash Khare ◽  
Uday P. Sukhatme
Keyword(s):  
Exact Solution ◽  
One Dimension ◽  
Scattering Problems ◽  
Three Body

Lie Algebra Method for Exact Solution of the Schrodinger Equation in One-Dimension with Position-Dependent Effective Mass

2011 ◽  
Author(s):  
Z. Bakhshi ◽  
H. Panahi ◽  
Muhammed Hasan Aslan ◽  
Ahmet Yayuz Oral ◽  
Mehmet Özer ◽  
...  
Keyword(s):  
Exact Solution ◽  
Schrödinger Equation ◽  
Effective Mass ◽  
Lie Algebra ◽  
Schrodinger Equation ◽  
One Dimension ◽  
Algebra Method

Exact Solution of a Deterministic Sandpile Model in One Dimension

1992 ◽  
Vol 68 (9) ◽  
pp. 1442-1442 ◽  
Author(s):  
S. -C. Lee ◽  
N. Y. Liang ◽  
W. -J. Tzeng
Keyword(s):  
Exact Solution ◽  
One Dimension ◽  
Sandpile Model

scholarly journals Exact solution of the biquadratic spin-1t−Jmodel in one dimension

1997 ◽  
Vol 56 (13) ◽  
pp. 7796-7799 ◽  
Author(s):  
F. C. Alcaraz ◽  
R. Z. Bariev
Keyword(s):  
Exact Solution ◽  
One Dimension

Exact analytic solutions for diffusion impeded by an infinite array of partially permeable barriers

1992 ◽  
Vol 436 (1897) ◽  
pp. 391-403 ◽  
Keyword(s):  
Exact Solution ◽  
Infinite System ◽  
Analytic Solutions ◽  
Initial Position ◽  
One Dimension ◽  
Plane Parallel ◽  
Exact Analytic Solutions ◽  
Infinite Array ◽  
Permeable Barriers ◽  
Convenient Model

We give an exact solution for the macroscopic diffusion of particles in one dimension impeded by any set of plane, parallel partially permeable barriers. Explicit results are given for one barrier, and for an infinite system of uniformly spaced barriers, for any initial position of the particles. This model can be generalized from slits to square tubes, to cubic pores, etc., and is proposed as a convenient model, with disposable parameters, for fitting to experiment. Various convenient and physically illuminating approximations are discussed. An alternative, and sometimes more convenient, way of computing the exact solution for complicated systems of pores is also given.

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