A quantum system with a non-Hermitian Hamiltonian
| Autor: | Seiya Nishiyama, J. da Providencia, J. P. da Providência, Natália Bebiano |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Quantum fluid
Physics Quantum optics Quantum Physics 47A10 81Q12 54L10 35A27 47B44 010102 general mathematics FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) Eigenfunction Mathematics::Spectral Theory 01 natural sciences Hermitian matrix symbols.namesake 0103 physical sciences symbols Quantum system 010307 mathematical physics 0101 mathematics Quantum field theory Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) Eigenvalues and eigenvectors Mathematical Physics Mathematical physics |
| Popis: | The relevance in Physics of non-Hermitian operators with real eigenvalues is being widely recognized not only in quantum mechanics but also in other areas, such as quantum optics, quantum fluid dynamics and quantum field theory. %stochastic processesand so on. In this note, a quantum system described by a non-Hermitian Hamiltonian, which is constituted by two types of interacting bosons, is investigated. The real eigenvalues of the Hamiltonian are explicitly determined, as well as complete biorthogonal sets of eigenfunctions of the Hamiltonian and its adjoint. The diagonal representation of $H$ is obtained using pseudo-bosonic operators. 16 pages, 1 figure |
| Databáze: | OpenAIRE |
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