Numerical approach to solve the time-dependent Dirac equation

被引：219

作者：

Braun, JW ^{[1
]}

Su, Q

Grobe, R

机构：

[1] Illinois State Univ, Intens Laser Phys Theory Unit, Normal, IL 61761 USA

[2] Illinois State Univ, Dept Phys, Normal, IL 61761 USA

来源：

PHYSICAL REVIEW A | 1999年 / 59卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.59.604

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We discuss how split-operator techniques may be applied to calculate normalized wave-function solutions to the three-dimensional time-dependent Dirac equation on a space-time lattice grid. This approach can be used to investigate various field-free dynamics of electron wave packets as well as the interactions of atomic electrons with space-time varying electromagnetic radiation. We demonstrate this technique by analyzing the time-resolved Klein paradox and the Zitterbewegung. [S1050-2947(99)07701-X].

引用

页码：604 / 612

页数：9

共 54 条

[1] CONVERGENCE OF BOUND-ELECTRON-POSITRON PAIR PRODUCTION CALCULATIONS FOR RELATIVISTIC HEAVY-ION COLLISIONS [J].

BALTZ, AJ ;

RHOADESBOWN, MJ ;

WENESER, J .

PHYSICAL REVIEW A, 1994, 50 (06) :4842-4853

[2] BOUND-ELECTRON POSITRON PAIR PRODUCTION IN RELATIVISTIC HEAVY-ION COLLISIONS [J].

BALTZ, AJ ;

RHOADESBROWN, MJ ;

WENESER, J .

PHYSICAL REVIEW A, 1993, 47 (04) :3444-3447

[3] ENERGY-DEPENDENCE OF BOUND-ELECTRON POSITRON PAIR PRODUCTION AT VERY-HIGH-ENERGY ION-ION TRANSITS [J].

BALTZ, AJ ;

RHOADESBROWN, MJ ;

WENESER, J .

PHYSICAL REVIEW A, 1991, 44 (09) :5569-5585

[4] EXPONENTIAL SPLIT OPERATOR METHODS FOR SOLVING COUPLED TIME-DEPENDENT SCHRODINGER-EQUATIONS [J].

BANDRAUK, AD ;

SHEN, H .

JOURNAL OF CHEMICAL PHYSICS, 1993, 99 (02) :1185-1193

[5] NONPERTURBATIVE TREATMENT OF EXCITATION AND IONIZATION IN U-92++U-91+ COLLISIONS AT 1 GEV/AMU [J].

BECKER, U ;

GRUN, N ;

SCHEID, W ;

SOFF, G .

PHYSICAL REVIEW LETTERS, 1986, 56 (19) :2016-2019

[6] SOLUTION OF THE TIME-DEPENDENT DIRAC-EQUATION BY THE FINITE-DIFFERENCE METHOD AND APPLICATION FOR CA-20+ + U-91+ [J].

BECKER, U ;

GRUN, N ;

SCHEID, W .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1983, 16 (11) :1967-1981

[7]

Bjorken JD, 1964, RELATIVISTIC QUANTUM

[8] DAMPED RELAXATION TECHNIQUES TO CALCULATE RELATIVISTIC BOUND-STATES [J].

BOTTCHER, C ;

STRAYER, MR ;

UMAR, AS ;

REINHARD, PG .

PHYSICAL REVIEW A, 1989, 40 (08) :4182-4189

[9] SUPERSTRONG COHERENT MULTIELECTRON INTENSE-FIELD INTERACTION [J].

BOYER, K ;

RHODES, CK .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1994, 27 (18) :L633-L636

[10] THE FOLDY-WOUTHUYSEN TRANSFORMATION [J].

COSTELLA, JP ;

MCKELLAR, BHJ .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (12) :1119-1121

← 1 2 3 4 5 6 →