caa a22 4500 469065109 CHVBK 20180323132906.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF02726880 doi (NATIONALLICENCE)springer-10.1007/BF02726880 Topological considerations in quantum theory [Elektronische Daten] [S. Al-Jaber, W. Henneberger] Summary: We consider the most general case of the restricted rigid rotor, controlled by passive mechanical devices located at θ=0 and θ=π. The purpose of these devices is to restrict the particle motion to a domain of a covering space (0,Mπ), whereM is an odd integer. This system, which is not a Hamiltonian one on the physical space (0, 2π), is compared with a Hamiltonian system having delta function barriers at θ=0 and θ=π. The case ofM an even integer is also discussed by using only one mechanical device at θ=0. This non-Hamiltonian system is compared with a Hamiltonian system having a delta function barrier at θ=0. It is shown that many of the wave functions of the non-Hamiltonian systems are the same as those of the Hamiltonian ones, with an average reflection coefficient of 1/(M+1) for oddM and 2/M for evenM, which are the classical values. We show how, in the case of very largeM, the superposition principle leads to de Broglie resonances. Società Italiana di Fisica, 1992 Foundations nationallicence theory of measurement nationallicence miscellaneous theories nationallicence Formalism nationallicence Al-Jaber S. Department of Physics and Molecular Science Program, Southern Illinois University at Carbondale, 62901, Carbondale, IL, USA aut Henneberger W. Department of Physics and Molecular Science Program, Southern Illinois University at Carbondale, 62901, Carbondale, IL, USA aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/1(1992-01-01), 23-37 107:1<23 1992 107 40764 https://doi.org/10.1007/BF02726880 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02726880 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Al-Jaber S. Department of Physics and Molecular Science Program, Southern Illinois University at Carbondale, 62901, Carbondale, IL, USA aut NATIONALLICENCE 700 1- Henneberger W. Department of Physics and Molecular Science Program, Southern Illinois University at Carbondale, 62901, Carbondale, IL, USA aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/1(1992-01-01), 23-37 107:1<23 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer