Pseudo hermiticity

Author: nlvn

August undefined, 2024

WebJun 13, 2016 · Thus, the concept of pseudo-Hermiticity, a condition for a real spectrum of a non-Hermitian system, was introduced. The main goal of our study is to reveal new … WebAug 26, 2002 · Pseudo-Hermiticity Supersymmetric quantum mechanics In recent times it has been stressed that neither Hermiticity nor PT symmetry serves as a necessary …

Formation of Exceptional Points in pseudo-Hermitian Systems

Webreality of the spectrum, pseudo-Hermiticity (under some rather general technical conditions) is a necessary condition. A condition that was both necessary and suﬃcient is given in [5]. WebJan 2, 2024 · We prove that in finite dimensions, a Parity-Time (PT)-symmetric Hamiltonian is necessarily pseudo-Hermitian regardless of whether it is diagonalizable or not. This … is east brunswick safe

Pseudo-Hermiticity SpringerLink

Webpseudo-Hermiticity To cite this article: Sergey V Suchkov et al 2016 New J. Phys. 18 065005 View the article online for updates and enhancements. Related content Nonlinearity … WebJul 1, 2001 · Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. Ali Mostafazadeh. We introduce … WebOct 19, 2024 · However, the necessary mathematical condition for real eigenvalues is that an operator obeys pseudo-Hermiticity 1,2, ηHη −1 = H †, where η is an Hermitian invertible linear operator ... is east charlotte safe

Non-Hermitian topology and exceptional-point geometries

WebFeb 22, 2024 · We consider a Bogoliubov–de Gennes (BdG) Hamiltonian, which is a non-Hermitian Hamiltonian with pseudo-Hermiticity, for a system of (pseudo) spin-1 / 2 bosons in a honeycomb lattice under the condition that the population difference between the two spin components, i.e., magnetization, is a constant.Such a system is capable of acting as … WebJul 4, 2015 · We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operators with real spectrum. In this way we can also prove and generalize the results obtained by other authors by means of a gauge-like transformation and its generalization. Such similarity transformations also reveal the connection with pseudo … is east egg old moneyWebOct 24, 2024 · The Hamiltonian operator is linked to via the -pseudo-Hermiticity relation (sometimes also called the similarity transformation), where is a unitary operator. Clearly, when the pseudo-Hermitian Hamiltonian coincides with a Hermitian one. This simple observation indicates that Hermitian Hamiltonians define a subset of pseudo-Hermitian … is east coast capitalized cmos

"WebClearly, H1 is PT symmetric, but not P-pseudo-Hermitian, whereasH2 is P-pseudo-Hermitian and not PT symmetric. Therefore, PT symmetry and P-pseudo-Hermiticity are distinct … " - Pseudo hermiticity

Formation of Exceptional Points in pseudo-Hermitian Systems

Pseudo-Hermiticity SpringerLink

Pseudo hermiticity

Did you know?