A Resolvent Approach to the Real Quantum Plane

作者：Ostrovskyi Vasyl; Schmuedgen Konrad

来源：Integral Equations and Operator Theory, 2014, 79(4): 451-476.

DOI：10.1007/s00020-014-2165-6

• Real quantum plane
• q-commutation relations

Let q not equal +/- 1 be a complex number of modulus one. This paper deals with the operator relation AB = qBA for self-adjoint operators A and B on a Hilbert space. Two classes of well-behaved representations of this relation are studied in detail and characterized by resolvent equations.

• 出版日期2014-8