Stephen Sontz

Toeplitz quantization with non-commuting symbols

Results will be presented on Toeplitz operators whose symbols are elements in a
paragrassmann algebra or in the complex quantum plane, each of which is a
non-commutative algebra. Special cases of these Toeplitz operators are
creation and annihilation operators, whose commutation relations will also be
discussed. I am not aware of any other Toeplitz quantization scheme which
employs non-commuting symbols.

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		University of Bialystok