Coulomb Forces in Three-Particle Atomic and Molecular Systems
作者： J. S. Briggs
DOI: 10.1007/978-1-4757-9880-7_5
关键词: Quantum number 、 Physics 、 Classical mechanics 、 Scattering theory 、 Position and momentum space 、 Coulomb's law 、 Coulomb 、 Bound state 、 Coulomb explosion 、 Coulomb barrier
摘要: In the solution of atomic and molecular few-body problems one is in fortunate position that force operating, Coulomb force, known exactly has a simple analytic form both configuration momentum space. For systems involving nuclei low charge situation even simpler since relativistic quantum-electrodynamic effects can also be neglected most cases. Then it appears remarkable simplest problem, three particles, still not solved completely. The reason equally simple. infinite range singular behavior at origin, space, result mathematical difficulties present for short-range potentials. example, traditional formal scattering theory applicable must modified appropriately. Similarly formation resonances two-electron atoms motion states three-body continuum, correlation between particles extends to separation; never free. Of course this feature well understood two-body which luckily soluble closed quantum-mechanical classical infinite-range results an number bound converging breakup threshold.
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sci-hub.st 参考文章(53)
P Selles, J Mazeau, A Huetz, Wannier theory for Po and De states of two electrons Journal of Physics B. ,vol. 20, pp. 5183- 5193 ,(1987) , 10.1088/0022-3700/20/19/028
Oktay Sinanoğlu, David R. Herrick, Group theoretic prediction of configuration mixing effects due to Coulomb repulsions in atoms with applications to doubly‐excited spectra Journal of Chemical Physics. ,vol. 62, pp. 886- 892 ,(1975) , 10.1063/1.430540
H. Ehrhardt, K. Jung, G. Knoth, P. Schlemmer, Differential Cross Sections of Direct Single Electron Impact Ionization European Physical Journal D. ,vol. 1, pp. 3- 32 ,(1986) , 10.1007/BF01384654
J S Briggs, The excitation of inner shells in slow atomic collisions Reports on Progress in Physics. ,vol. 39, pp. 217- 289 ,(1976) , 10.1088/0034-4885/39/3/001
Hubert Klar, Mathias Fehr, Parametrization of multiply differential cross sections European Physical Journal D. ,vol. 23, pp. 295- 300 ,(1992) , 10.1007/BF01429250
Martin C. Gutzwiller, Periodic Orbits and Classical Quantization Conditions Journal of Mathematical Physics. ,vol. 12, pp. 343- 358 ,(1971) , 10.1063/1.1665596
M Brauner, J S Briggs, H Klar, Triply-differential cross sections for ionisation of hydrogen atoms by electrons and positrons Journal of Physics B: Atomic, Molecular and Optical Physics. ,vol. 22, pp. 2265- 2287 ,(1989) , 10.1088/0953-4075/22/14/010
C. R. Garibotti, J. E. Miraglia, Ionization and electron capture to the continuum in the H + -hydrogen-atom collision Physical Review A. ,vol. 21, pp. 572- 580 ,(1980) , 10.1103/PHYSREVA.21.572
J G Leopold, I C Percival, The semiclassical two-electron atom and the old quantum theory Journal of Physics B. ,vol. 13, pp. 1037- 1047 ,(1980) , 10.1088/0022-3700/13/6/012
F Maulbetsch, J S Briggs, Angular distribution of electrons following double photoionization Journal of Physics B. ,vol. 26, pp. 1679- 1696 ,(1993) , 10.1088/0953-4075/26/11/005