35 citations · 47 across the 3 of their papers we have counts for
3 papers
quant-ph2005★ 35 cited
A Quantum-Classical Brackets from p-Mechanics
Vladimir V. Kisil
We provide an answer to the long standing problem of mixing quantum and classical dynamics within a single formalism. The construction is based on p-mechanical derivation (quant-ph…
math.CV2004★ 12 cited
Elliptic, Parabolic and Hyperbolic Analytic Function Theory--0: Geometry of Domains
Vladimir V. Kisil, Debapriya Biswas
This paper lays down a foundation for a systematic treatment of three main (elliptic, parabolic and hyperbolic) types of analytic function theory based on the representation theory…
math.FA2003
Monogenic Calculus as an Intertwining Operator
Vladimir V. Kisil
We revise a monogenic calculus for several non-commuting operators, which is defined through group representations. Instead of an algebraic homomorphism we use group covariance. Th…