Search results for "Bosonic operators"

showing 3 items of 3 documents

A class of weak pseudo-bosons and their bi-coherent states

2022

In this paper we extend some previous results on weak pseudo-bosons and on their related bi-coherent states. The role of {\em compatible} functions is discussed in details, and some examples are considered. The pseudo-bosonic ladder operators analysed in this paper generalize significantly those considered so far, and a class of new diagonalizable manifestly non self-adjoint Hamiltonians are deduced.

Applied MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Settore MAT/07 - Fisica MatematicaMathematical PhysicsAnalysisPseudo-bosonic operators Compatible generalized eigenstates Weak bi-coherent statesJournal of Mathematical Analysis and Applications
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An operator-like description of love affairs

2010

We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions are found. Then we extend the model to a love triangle involving Alice, Bob and a third actress, Carla. Interesting features appear, and in particular we find analytical conditions for the linear model of love triangle to have periodic or quasiperiodic solutions. Numerical solutions are exhibi…

Physics - Physics and SocietyPure mathematicsLove affairDynamical systems theoryApplied MathematicsBosonic operators; Heisenberg-like dynamics; Dynamical systems; Numerical integration of ordinary differential equationsLinear modelFOS: Physical sciencesPhysics and Society (physics.soc-ph)Canonical commutation relationNonlinear systemTheoretical physicsNumber representationAlice and BobSettore MAT/07 - Fisica MatematicaMathematics
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MR3535311 Reviewed Inoue, H.(J-KYUSGM); Takakura, M.(J-FUE-AM) Regular biorthogonal pairs and pseudo-bosonic operators. (English summary) J. Math. Ph…

2017

Given a pair of operators a and b acting on a Hilbert space H, such that [a,b]=1, the authors give a method to construct a regular bi-orthogonal pair of sequences in H. They study the relationship between the conditions on a,b,a†,b† and the operators Ae,Be,A†e,B†e, considered by one of the authors in a previous paper, in the set-up of a general theory of bi-orthogonal pair sequences. Then they give a method to construct operators A and B with the so-called D-pseudo bosons conditions, i.e. the commutation rule and some assumptions, on a dense subspace D of H, considered in the literature. Finally, some physical examples are given.

pseudo-bosonic operatorsSettore MAT/05 - Analisi Matematica
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