Search results for "PT -symmetric Hamiltonian"

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Generalized Riesz systems and orthonormal sequences in Krein spaces

2018

We analyze special classes of bi-orthogonal sets of vectors in Hilbert and in Krein spaces, and their relations with generalized Riesz systems. In this way, the notion of the first/second type sequences is introduced and studied. We also discuss their relevance in some concrete quantum mechanical system driven by manifestly non self-adjoint Hamiltonians.

Statistics and ProbabilityPure mathematics46N50 81Q12FOS: Physical sciencesGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Mathematics::Spectral TheoryRiesz basisBiorthogonal sequenceModeling and SimulationPT -symmetric HamiltonianKrein spaceOrthonormal basisSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsJournal of Physics A: Mathematical and Theoretical

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