Matches in SemOpenAlex for { <https://semopenalex.org/work/W1532465743> ?p ?o ?g. }
- W1532465743 endingPage "379" @default.
- W1532465743 startingPage "359" @default.
- W1532465743 abstract "We define general lowering and raising operators of the eigenstates for one-dimensional quantum mechanical potential problems leading to discrete energy spectra and investigate their associative algebra. The Hamilton operator is quadratic in these lowering and raising operators and corresponding representations of operators for action and angle are found. The normally ordered representation of general operators using combinatorial elements such as partitions is derived. The introduction of generalized coherent states is discussed. Linear laws for the spacing of the energy eigenvalues lead to the Heisenberg–Weyl group and general quadratic laws of level spacing to unitary irreducible representations of the Lie group SU(1, 1) that is considered in detail together with a limiting transition from this group to the Heisenberg–Weyl group. The relation of the approach to quantum deformations is discussed. In two appendices, the classical and quantum mechanical treatment of the squared tangent potential is presented as a special case of a system with quadratic level spacing." @default.
- W1532465743 created "2016-06-24" @default.
- W1532465743 creator A5061237607 @default.
- W1532465743 date "2002-09-20" @default.
- W1532465743 modified "2023-09-26" @default.
- W1532465743 title "Operator algebras for general one-dimensional quantum mechanical potentials with discrete spectrum" @default.
- W1532465743 cites W1234531025 @default.
- W1532465743 cites W162981498 @default.
- W1532465743 cites W1663839511 @default.
- W1532465743 cites W1963485475 @default.
- W1532465743 cites W1964107355 @default.
- W1532465743 cites W1964931863 @default.
- W1532465743 cites W1972830944 @default.
- W1532465743 cites W1973007622 @default.
- W1532465743 cites W1980394627 @default.
- W1532465743 cites W1983077776 @default.
- W1532465743 cites W1983115933 @default.
- W1532465743 cites W1985976790 @default.
- W1532465743 cites W1986872411 @default.
- W1532465743 cites W1988390921 @default.
- W1532465743 cites W1990574598 @default.
- W1532465743 cites W1994090126 @default.
- W1532465743 cites W1999775139 @default.
- W1532465743 cites W2009427008 @default.
- W1532465743 cites W2009437492 @default.
- W1532465743 cites W2013818919 @default.
- W1532465743 cites W2025744063 @default.
- W1532465743 cites W2026323169 @default.
- W1532465743 cites W2027977391 @default.
- W1532465743 cites W2032520835 @default.
- W1532465743 cites W2045955586 @default.
- W1532465743 cites W2048122448 @default.
- W1532465743 cites W2048541025 @default.
- W1532465743 cites W2050340871 @default.
- W1532465743 cites W2051996753 @default.
- W1532465743 cites W2052081183 @default.
- W1532465743 cites W2053073042 @default.
- W1532465743 cites W2053857014 @default.
- W1532465743 cites W2060360937 @default.
- W1532465743 cites W2060401304 @default.
- W1532465743 cites W2069092937 @default.
- W1532465743 cites W2069626560 @default.
- W1532465743 cites W2070703143 @default.
- W1532465743 cites W2083587082 @default.
- W1532465743 cites W2086607892 @default.
- W1532465743 cites W2088045421 @default.
- W1532465743 cites W2091361962 @default.
- W1532465743 cites W2095460097 @default.
- W1532465743 cites W2101546653 @default.
- W1532465743 cites W2125507922 @default.
- W1532465743 cites W2126661253 @default.
- W1532465743 cites W2128020592 @default.
- W1532465743 cites W2130274774 @default.
- W1532465743 cites W2161073196 @default.
- W1532465743 cites W2162643351 @default.
- W1532465743 cites W2317134509 @default.
- W1532465743 cites W2596153314 @default.
- W1532465743 cites W2912658208 @default.
- W1532465743 cites W3099784951 @default.
- W1532465743 cites W3103604027 @default.
- W1532465743 cites W3105527133 @default.
- W1532465743 cites W3106036567 @default.
- W1532465743 cites W3106184732 @default.
- W1532465743 cites W4251098285 @default.
- W1532465743 doi "https://doi.org/10.1088/1464-4266/4/6/301" @default.
- W1532465743 hasPublicationYear "2002" @default.
- W1532465743 type Work @default.
- W1532465743 sameAs 1532465743 @default.
- W1532465743 citedByCount "11" @default.
- W1532465743 countsByYear W15324657432014 @default.
- W1532465743 countsByYear W15324657432015 @default.
- W1532465743 countsByYear W15324657432017 @default.
- W1532465743 countsByYear W15324657432023 @default.
- W1532465743 crossrefType "journal-article" @default.
- W1532465743 hasAuthorship W1532465743A5061237607 @default.
- W1532465743 hasConcept C104317684 @default.
- W1532465743 hasConcept C121332964 @default.
- W1532465743 hasConcept C129844170 @default.
- W1532465743 hasConcept C134440745 @default.
- W1532465743 hasConcept C136119220 @default.
- W1532465743 hasConcept C142292226 @default.
- W1532465743 hasConcept C158448853 @default.
- W1532465743 hasConcept C158693339 @default.
- W1532465743 hasConcept C17020691 @default.
- W1532465743 hasConcept C185592680 @default.
- W1532465743 hasConcept C199360897 @default.
- W1532465743 hasConcept C202444582 @default.
- W1532465743 hasConcept C2524010 @default.
- W1532465743 hasConcept C2778029271 @default.
- W1532465743 hasConcept C33923547 @default.
- W1532465743 hasConcept C37914503 @default.
- W1532465743 hasConcept C41008148 @default.
- W1532465743 hasConcept C51568863 @default.
- W1532465743 hasConcept C55493867 @default.
- W1532465743 hasConcept C62520636 @default.
- W1532465743 hasConcept C79013869 @default.
- W1532465743 hasConcept C84114770 @default.
- W1532465743 hasConcept C86339819 @default.