Wave equations with energy-dependent potentials

被引：92

作者：

Formánek, J

Lombard, RJ

Mares, J

机构：

[1] Charles Univ, Fac Math & Phys, Prague 18000 8, Czech Republic

[2] Inst Phys Nucl, Grp Phys Theor, F-91406 Orsay, France

[3] Acad Sci Czech Republ, Inst Nucl Phys, CR-25068 Rez, Czech Republic

来源：

CZECHOSLOVAK JOURNAL OF PHYSICS | 2004年 / 54卷 / 03期

关键词：

energy-dependent potential; scalar product; Hilbert space;

D O I：

10.1023/B:CJOP.0000018127.95600.a3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study wave equations with energy-dependent potentials. Simple analytical models are found useful to illustrate difficulties encountered with the calculation and interpretation of observables. A formal analysis shows under which conditions such equations can be handled as evolution equation of quantum theory with ail energy-dependent potential. Once these conditions are met, such theory can be transformed into ordinary quantum theory.

引用

页码：289 / 316

页数：28

共 14 条

[1]

BETHE HA, 1957, QUANTUM THEORY 1 2 E, V35

[2] 2-BODY DIRAC EQUATIONS FOR PARTICLES INTERACTING THROUGH WORLD SCALAR AND VECTOR POTENTIALS [J].