4 papers · 1 filter
-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics
Shunya Doi, Naruhiko Aizawa
Quantum mechanical systems whose symmetry is given by -graded version of superconformal algebra are introduced. This is done by finding a realization of a $\mathbb{…
-Graded extensions of supersymmetric quantum mechanics via Clifford algebras
N. Aizawa, K. Amakawa, S. Doi
It is shown that the supersymmetric quantum mechanics (SQM) can be extended to a -graded superalgebra. This is done by presenting quantum mechanical mo…
-Extension of duble-graded supersymmetric and superconformal quantum mechanics
N. Aizawa, K. Amakawa, S. Doi
In the recent paper, Bruce and Duplij introduced a double-graded version of supersymmetric quantum mechanics (SQM). It is an extension of Lie superalgebraic nature of …
Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type
N. Aizawa, K. Amakawa, S. Doi
We present a relationship between the Calogero-Moser particles confined in harmonic oscillator potentials and a representation theory of the infinite dimensional Lie algebra which…