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
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
收藏
页码:289 / 316
页数:28
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