Energy-dependent potentials and the problem of the equivalent local potential
作者： R Yekken , R J Lombard
DOI: 10.1088/1751-8113/43/12/125301
关键词:
摘要: The properties of the wave equation are studied in case energy-dependent potentials for bound sates. nonlinearity induced by energy dependence requires modification standard rules quantum mechanics. These modifications briefly recalled. Analytical and numerical solutions given three-dimensional space power-law radial shape with a linear dependence. This last is chosen since it allows construction coherent theory. Among results, we stress saturation spectrum observed confining potentials: as numbers increase, eigenvalues reach an upper limit. Finally, problem equivalent local potential discussed. existence analytical presents good opportunity to tackle this detail.
harvard.edu
sci-hub.se 参考文章(22)
J. Mourad, H. Sazdjian, The two‐fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form Journal of Mathematical Physics. ,vol. 35, pp. 6379- 6406 ,(1994) , 10.1063/1.530681
W. Pauli, Zur Quantenmechanik des magnetischen Elektrons European Physical Journal. ,vol. 43, pp. 601- 623 ,(1927) , 10.1007/BF01397326
S. Ait-Tahar, R.S. Mackintosh, S.G. Cooper, T. Wada, Energy dependence of a local equivalent potential for RGM phase shifts for 16O + 16O Nuclear Physics. ,vol. 562, pp. 101- 110 ,(1993) , 10.1016/0375-9474(93)90034-U
R Mezhoud, F-Z Ighezou, R J Lombard, Spectral analysis in the case of a complex potential Journal of Physics G: Nuclear and Particle Physics. ,vol. 36, pp. 025003- ,(2009) , 10.1088/0954-3899/36/2/025003
H. Sazdjian, Relativistic wave equations for the dynamics of two interacting particles Physical Review D. ,vol. 33, pp. 3401- 3424 ,(1986) , 10.1103/PHYSREVD.33.3401
M. Jaulent, C. Jean, The inverse $s$-wave scattering problem for a class of potentials depending on energy Communications in Mathematical Physics. ,vol. 28, pp. 177- 220 ,(1972) , 10.1007/BF01645775
R. Yekken, F.-Z. Ighezou, R.J. Lombard, The inverse problem in the case of bound states Annals of Physics. ,vol. 323, pp. 61- 81 ,(2008) , 10.1016/J.AOP.2007.09.005
V.A. Rizov, H. Sazdjian, I.T. Todorov, On the relativistic quantum mechanics of two interacting spinless particles Annals of Physics. ,vol. 165, pp. 59- 97 ,(1985) , 10.1016/S0003-4916(85)80005-1
R.A. Bertlmann, A. Martin, Inequalities on heavy quark-antiquark systems Nuclear Physics B. ,vol. 168, pp. 111- 136 ,(1980) , 10.1016/0550-3213(80)90279-5