Representations of the Lie Superalgebra gl(1|n) and Wigner Quantum Oscillators
نویسندگان
چکیده
An explicit construction of all finite-dimensional irreducible representations of the Lie superalgebra gl(1|n) in a Gel’fand-Zetlin basis is given. The notion of Wigner Quantum Oscillators (WQOs) is recalled. The star type I representations of gl(1|n) are physical state spaces of the WQO. These solutions have remarkable properties following from the spectrum of the Hamiltonian and of the position and momentum operators.
منابع مشابه
Representations of the Lie Superalgebra gl(1|n) in a Gel’fand-Zetlin Basis and Wigner Quantum Oscillators
An explicit construction of all finite-dimensional irreducible representations of the Lie superalgebra gl(1|n) in a Gel’fand-Zetlin basis is given. Particular attention is paid to the so-called star type I representations (“unitary representations”), and to a simple class of representations V (p), with p any positive integer. Then, the notion of Wigner Quantum Oscillators (WQOs) is recalled. In...
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