caa a22 4500 469034912 CHVBK 20180323132753.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF01016465 doi (NATIONALLICENCE)springer-10.1007/BF01016465 Lutsenko I. aut Jacobi algebra and potentials generated by it [Elektronische Daten] [I. Lutsenko] It is shown that the Jacobi algebraQJ(3) generates potentials that admit exact solution in relativistic and nonrelativistic quantum mechanics. Being a spectrum-generating dynamic symmetry algebra and possessing the ladder property,QJ(3) makes it possible to find the wave functions in the coordinate representation. The exactly solvable potentials specified in explicit form are regarded as a special case of a larger class of exactly solvable potentials specified implicitly. The connection between classical and quantum problems possessing exact solutions is obtained by means ofQJ(3). Plenum Publishing Corporation, 1993 Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/1(1992-10-01), 1081-1090 0040-5779 93:1<1081 1992 93 11232 https://doi.org/10.1007/BF01016465 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01016465 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lutsenko I. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 93/1(1992-10-01), 1081-1090 0040-5779 93:1<1081 1992 93 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer