6533b85bfe1ef96bd12bbefd

RESEARCH PRODUCT

Weak pseudo-bosons

Fabio Bagarello

subject

Statistics and ProbabilityFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciences010305 fluids & plasmassymbols.namesakeGeneralized eigenvector0103 physical sciences010306 general physicsQuantumSettore MAT/07 - Fisica MatematicaHarmonic oscillatorMathematical PhysicsMathematical physicsBosonPhysicsHilbert spaceStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Construct (python library)non self-adjoint HamiltonianModeling and SimulationsymbolsBiorthogonal setMultiplicationpseudo-bosons

description

We show how the notion of {\em pseudo-bosons}, originally introduced as operators acting on some Hilbert space, can be extended to a distributional settings. In doing so, we are able to construct a rather general framework to deal with generalized eigenvectors of the multiplication and of the derivation operators. Connections with the quantum damped harmonic oscillator are also briefly considered.

yearjournalcountryeditionlanguage
2020-01-01
10.1088/1751-8121/ab766fhttp://arxiv.org/abs/2001.05219