214 citations · 739 across the 64 of their papers we have counts for
14 papers · 1 filter
Interpretation of wave function by coherent ensembles of trajectories
Vladimir V. Kisil
We re-use some original ideas of de~Broglie, Schrödiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coh…
Deterministic actions on stochastic ensembles of particles can replicate wavelike behaviour of quantum mechanics: does it matter?
Dale R Hodgson, Vladimir V Kisil
The probabilistic interpretation of quantum mechanics has been a point of discussion since the earliest days of the theory. The development of quantum technologies transfer these d…
Erlangen Programme at Large 3.2: Ladder Operators in Hypercomplex Mechanics
Vladimir V. Kisil
We revise the construction of creation/annihilation operators in quantum mechanics based on the representation theory of the Heisenberg and symplectic groups. Besides the standard…
Erlangen Programme at Large 3.1: Hypercomplex Representations of the Heisenberg Group and Mechanics
Vladimir V. Kisil
In the spirit of geometric quantisation we consider representations of the Heisenberg(--Weyl) group induced by hypercomplex characters of its centre. This allows to gather under th…
Computation and Dynamics: Classical and Quantum
Vladimir V. Kisil
We discuss classical and quantum computations in terms of corresponding Hamiltonian dynamics. This allows us to introduce quantum computations which involve parallel processing of…
Comment on `Do we have a consistent non-adiabatic quantum-classical mechanics?'
Vladimir V. Kisil
We argue with claims of the paper [Agostini F., Caprara S. and Ciccotti G., Europhys. Lett. EPL, 78 (2007) Art. 30001, 6] that the quantum-classic bracket introduced in [arXiv:quan…