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4 papers · 2 filters
Projective Ring Line Encompassing Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna
The projective line over the (non-commutative) ring of two-by-two matrices with coefficients in GF(2) is found to fully accommodate the algebra of 15 operators - generalized Pauli…
Resonance asymptotics in the generalized Winter model
Pavel Exner, Martin Fraas
We consider a modification of the Winter model describing a quantum particle in presence of a spherical barrier given by a fixed generalized point interaction. It is shown that the…
Matching method and exact solvability of discrete PT-symmetric square wells
Miloslav Znojil
Discrete PT-symmetric square wells are studied. Their wave functions are found proportional to classical Tshebyshev polynomials of complex argument. The compact secular equations f…
The decay law can have an irregular character
Pavel Exner, Martin Fraas
Within a well-known decay model describing a particle confined initially within a spherical potential shell, we consider the situation when the undecayed state has an unusual e…