3 papers
quant-ph2025
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 co…
math.CV2024
How Many Essentially Different Functional Theories Exist?
Vladimir V. Kisil
The question in the title is ambiguous. At least the understanding of words essentially different and function theory should be clarified. We discuss approaches to do that. We also…
math.FA2024
Operator Projective Line and Its Transformations
Jafar Aljasem, Vladimir V. Kisil
We introduce a concept of the operator (non-commutative) projective line PH defined by a Hilbert space H and a symplectic structure on it. Points of PH are Lagrangian subspaces of…