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13 papers · 1 filter
Analytical and numerical solution of a coupled KdV-MKdV system
A. A. Halim, S. B. Leble
The matrix 2x2 spectral differential equation of the second order is considered on x in (). We establish elementary Darboux transformations covariance of the probl…
Quantum morphogenesis: A variation on Thom's catastrophe theory
D. Aerts, M. Czachor, L. Gabora +4
Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as…
States of light via reducible quantization
Marek Czachor
Multi-photon and coherent states of light are formulated in terms of a reducible representation of canonical commutation relations. Standard properties of such states are recovered…
Mean of continuous variables observable {\it via} measurement on single qubit
Pawel Horodecki
It is shown that mean value of any observable with bounded spectrum can be uniquely determined from binary statistics of the measurement performed on {\it single} qubit ancilla cou…
A dressing of zero-range potentials and electron-molecule scattering problem at low energies
S. B. Leble, S. Yalunin
A dressing of a nonspherical potential, which includes zero range potentials, is considered. The dressing technique is used to improve ZRP model. Concepts of the partial waves…
Generalized Zero Range Potentials and Multi-Channel Electron-Molecule Scattering
Sergey Leble, Sergey Yalunin
A multi-channel scattering problem is studied from a point of view of integral equations system. The system appears while natural one-particle wave function equation of the electro…