ONE-DIMENSIONAL DELTA-FUNCTION POTENTIAL AND THE RADIATION BOUNDARY-CONDITION

被引:13
作者
TAITELBAUM, H
机构
[1] Institute for Physical Science and Technology, University of Maryland, College Park
来源
PHYSICA A | 1992年 / 190卷 / 3-4期
关键词
D O I
10.1016/0378-4371(92)90038-R
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss two different representations of a single imperfect trap in one dimension, a delta-function potential in a Schrodinger-like reaction-diffusion equation, and the classical radiation boundary condition description. In the context of self-segregation in trapping problems, we show explicitly the equivalence of the models under certain conditions, and discuss the general differences. We also point out the applicability of both models for various physical systems.
引用
收藏
页码:295 / 302
页数:8
相关论文
共 26 条
[1]   RANDOM-WALK IN A RANDOM MULTIPLICATIVE ENVIRONMENT [J].
BENAVRAHAM, D ;
REDNER, S ;
CHENG, Z .
JOURNAL OF STATISTICAL PHYSICS, 1989, 56 (3-4) :437-459
[2]   STATISTICAL PROPERTIES OF NEAREST-NEIGHBOR DISTANCES IN A DIFFUSION-REACTION MODEL [J].
BENAVRAHAM, D ;
WEISS, GH .
PHYSICAL REVIEW A, 1989, 39 (12) :6436-6440
[3]  
BENAVRAHAM D, 1991, LASERS LIFE SCI, V4, P29
[4]  
BENNAIM E, PREPRINT
[5]   EXACT PROPAGATOR FOR COHERENT MOTION OF EXCITONS IN A LINEAR-CHAIN WITH ONE IMPURITY [J].
BILEK, O ;
SKALA, L .
PHYSICS LETTERS A, 1986, 119 (06) :300-303
[6]   GREENS-FUNCTION AND PROPAGATOR FOR THE ONE-DIMENSIONAL DELTA-FUNCTION POTENTIAL [J].
BLINDER, SM .
PHYSICAL REVIEW A, 1988, 37 (03) :973-976
[7]  
Carslaw H. S., 1986, CONDUCTION HEAT SOLI
[8]   DIFFUSION-CONTROLLED REACTION RATES [J].
COLLINS, FC ;
KIMBALL, GE .
JOURNAL OF COLLOID SCIENCE, 1949, 4 (04) :425-437
[9]   STATISTICAL PROPERTIES OF THE NEAREST-NEIGHBOR DISTANCE AT A SINGLE IMPERFECT TRAP [J].
DATTA, PK ;
JAYANNAVAR, AM .
PHYSICA A, 1992, 184 (1-2) :135-142
[10]   SURFACE REFLECTIONS AND BOUNDARY-CONDITIONS FOR DIFFUSIVE PHOTON TRANSPORT [J].
FREUND, I .
PHYSICAL REVIEW A, 1992, 45 (12) :8854-8858