Some Properties of Bound States in Potentials
作者： A. Martin
DOI: 10.1007/978-3-642-73104-4_3
关键词: Quantum mechanics 、 Quarkonium 、 Bound state 、 Function (mathematics) 、 Schrödinger equation 、 Angular momentum 、 Harmonic oscillator 、 Chemistry 、 Perturbation theory (quantum mechanics)
摘要: We summarize the most important theorems on order of energy levels in central potentials. Then we present new results spacing between levels. Finally some V. Glaser wave function at origin and subsequent developments.
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正義 岩田, B. Aubert and L. Montanet 編: Physics in Collision, 5; Proceedings, Autun, 1985, Editions Frontieres, Gif sur Yvette, xii+526ページ, 26×17.5cm, 20,520円. 日本物理學會誌. ,vol. 41, pp. 658- 659 ,(1986)
H. Grosse, A. Martin, Two theorems on the level order in potential models Physics Letters B. ,vol. 134, pp. 368- 372 ,(1984) , 10.1016/0370-2693(84)90018-2
B. Baumgartner, H. Grosse, A. Martin, The laplacian of the potential and the order of energy levels Physics Letters B. ,vol. 146, pp. 363- 366 ,(1984) , 10.1016/0370-2693(84)91715-5
Gordon Feldman, Thomas Fulton, Alberto Devoto, Energy levels and level ordering in the WKB approximation Nuclear Physics. ,vol. 154, pp. 441- 462 ,(1979) , 10.1016/0550-3213(79)90041-5
B. Baumgartner, H. Grosse, A. Martin, Order of levels in potential models Nuclear Physics. ,vol. 254, pp. 528- 542 ,(1985) , 10.1016/0550-3213(85)90231-7
A. Martin, V. Glaser's results on the wave function at the origin and the semi-classical limit Physics Reports. ,vol. 134, pp. 305- 316 ,(1986) , 10.1016/0370-1573(86)90054-2
Christian Borgs, Erhard Seiler, Lattice Yang-Mills theory at nonzero temperature and the confinement problem Communications in Mathematical Physics. ,vol. 91, pp. 329- 380 ,(1983) , 10.1007/BF01208780
John A. Wheeler, Some Consequences of the Electromagnetic Interaction between $mu$$sup -$ - Mesons and Nuclei Reviews of Modern Physics. ,vol. 21, pp. 133- 143 ,(1949) , 10.1103/REVMODPHYS.21.133
C. Quigg, Jonathan L. Rosner, Quantum mechanics with applications to quarkonium Physics Reports. ,vol. 56, pp. 167- 235 ,(1979) , 10.1016/0370-1573(79)90095-4
D. M. J. Lovelock, J. E. Horstkotte, C. Klopfenstein, J. Lee-Franzini, L. Romero, R. D. Schamberger, S. Youssef, P. Franzini, D. Son, P. M. Tuts, T. Zhao, S. Herb, H. Dietl, G. Eigen, V. Fonseca, E. Lorenz, G. Mageras, K. Han, R. Imlay, W. Metcalf, V. Sreedhar, Masses, widths, and leptonic widths of the higher upsilon resonances. Physical Review Letters. ,vol. 54, pp. 377- 380 ,(1985) , 10.1103/PHYSREVLETT.54.377