MATRICIAL REPRESENTATION OF RATIONAL POWER OF OPERATORS AND PARA-GRASSMANN EXTENSION OF QUANTUM MECHANICS
1995 ◽
Vol 10
(09)
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pp. 1269-1280
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Keyword(s):
Using para-Grassmann, or generalized Grassmann algebras, we define rational power of annihilation and creation operators, in order to extend supersymmetric quantum mechanics. This extension can be replaced, under some assumptions, in para-Grassmann quantum mechanics. We then apply this method to the construction of an equation which generalizes the (2+1)D Pauli equation to a particle of arbitrary spin s. This is done by means of a Hamiltonian defined as a sum of 2s monomials of degree 2s+1.
Keyword(s):
2004 ◽
Vol 37
(40)
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pp. 9557-9571
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2012 ◽
Vol 376
(5)
◽
pp. 692-696
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1992 ◽
Vol 25
(6)
◽
pp. 1745-1756
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1991 ◽
Vol 21
(3)
◽
pp. 237-244
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Keyword(s):
2000 ◽
Vol 488
(2)
◽
pp. 194-198
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Keyword(s):