The Clebsch-Gordan coefficients for the covering of the (2+1)-Lorentz group in the parabolic basis
DOI10.1016/0378-4371(82)90335-1zbMath0511.22010OpenAlexW2063980200MaRDI QIDQ1839049
Debabrata Basu, Kurt Bernardo Wolf
Publication date: 1982
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0378-4371(82)90335-1
hypergeometric functionsSchrödinger equationsproduct statesClebsch-Gordan coefficientssecond-order differential operatorsunitarycoupled statesgeneralized oscillator algebraPoeschl-Teller potentialsself-adjoint irreducible representations
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Unitary representations of locally compact groups (22D10)
Cites Work
- Integral transforms in science and engineering
- A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)
- On the Kronecker Products of Irreducible Representations of the 2 × 2 Real Unimodular Group. I
- The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. IV
- On the wigner coefficients of the three-dimensional Lorentz group
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