Electron in an interaction potential of general shape

被引:2
作者
Rieth, M
Schommers, W
机构
[1] Forschungszentrum Karlsruhe, Inst Comp Sci, D-76021 Karlsruhe, Germany
[2] Forschungszentrum Karlsruhe, Mat Res Inst, D-76021 Karlsruhe, Germany
关键词
Schrodinger's equation; electronic properties; nanostructures;
D O I
10.1166/jctn.2005.205
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Three-dimensional quantum-mechanical calculations are presented for an electron in a complex potential. These calculations are based on a new method which have been proposed recently for the determination of the eigenstates and eigenvalues of a particle (e.g., an electron) in a potential of general shape. For such systems the method allows to calculate the exact numerical solutions of the stationary Schrodinger equation. For the application of this method any well-known reference system is needed. A transition from the stationary reference system to the stationary system under investigation is performed by means of the time-dependent Schrodinger equation.
引用
收藏
页码:362 / 369
页数:8
相关论文
共 25 条
[11]  
LEONG P, 2000, PHYSICA E, V7, P393
[12]   FINITE-ELEMENT METHODS IN QUANTUM-MECHANICS [J].
LINDERBERG, J .
COMPUTER PHYSICS REPORTS, 1987, 6 (1-6) :209-242
[13]  
MESSIAH A, 1970, QUANTUM MECH, V1
[14]   Efficient finite difference solutions to the time-dependent Schrodinger equation [J].
Nash, PL ;
Chen, LY .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 130 (02) :266-268
[15]   PROPERTIES OF VIBRATIONAL ENERGY-LEVELS IN THE QUASI-PERIODIC AND STOCHASTIC REGIMES [J].
NOID, DW ;
KOSZYKOWSKI, ML ;
TABOR, M ;
MARCUS, RA .
JOURNAL OF CHEMICAL PHYSICS, 1980, 72 (11) :6169-6175
[16]   Exact numerical solution of Schrodinger's equation for a particle in an interaction potential of general shape [J].
Rieth, M ;
Schommers, W ;
Baskoutas, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2002, 16 (27) :4081-4092
[17]   DENSITY-FUNCTIONAL THEORY AND THE V-REPRESENTABILITY PROBLEM FOR MODEL STRONGLY CORRELATED ELECTRON SYSTEMS [J].
SCHINDLMAYR, A ;
GODBY, RW .
PHYSICAL REVIEW B, 1995, 51 (16) :10427-10435
[18]  
SCHOMMERS W, 1999, UNPUB LECT ATOMIC EL
[19]   Discrete variable and finite element techniques applied to simple atomic systems [J].
Schweizer, W ;
Fassbinder, P ;
González-Ferez, R ;
Braun, M ;
Kulla, S ;
Stehle, M .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 109 (1-2) :95-122
[20]  
SCHWEIZER W, 2001, COMPUTATIONAL QUANTU