Results 91 to 100 of about 63,478 (260)
A Fermionic Hodge Star Operator
A fermionic analogue of the Hodge star operation is shown to have an explicit operator representation in models with fermions, in spacetimes of any dimension. This operator realizes a conjugation (pairing) not used explicitly in field-theory, and induces
Davis, Alfred, Hubsch, Tristan
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Analytical Solutions of the Driven Time‐Dependent Jaynes–Cummings Model
Following the great strides made in the last decade towards the control and tunability of physical parameters in cavity quantum electrodynamics, this study presents new solutions to the dynamics of the time‐dependent Jaynes–Cummings model with variable external classical fields acting on the two‐level system and the quantized field mode.
Antonio Vidiella‐Barranco+5 more
wiley +1 more source
Validity of the effective potential method to study PT-symmetric field theories
We calculate the one loop effective potential for the class (-(iϕ)α) of PT-symmetric and non-Hermitian field theories in 0+1 space-time dimensions. To test the method, we showed that for the massless Hermitian ϕ4 theory, the method gives the exact power ...
Abouzeid. M. Shalaby
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Conceptual Problems in Scattering from Localized non-Hermitian Potentials
We highlight the conceptual issues that arise when one applies the quasi-Hermitian framework to analyze scattering from localized non-Hermitian potentials, in particular complex square-wells or delta-functions.
A. Mostafazadeh, H. F. Jones
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Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems
A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam+3 more
wiley +1 more source
Abstract This paper focuses on the design of H∞$$ {H}_{\infty } $$ filtering for two‐dimensional (2‐D) continuous‐discrete Takagi–Sugeno (T–S) fuzzy systems. The frequency of disturbance input is assumed to be known and to reside in a finite frequency (FF) domain.
Abderrahim El‐Amrani+3 more
wiley +1 more source
Supersymmetric $\eta$ operators
Being chosen as a differential operator of a special form, metric $\eta$ operator becomes unitary equivalent to a one-dimensional Hermitian Hamiltonian with a natural supersymmetric structure.
Samsonov, Boris F.
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ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez+2 more
wiley +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun+2 more
wiley +1 more source
Observables in non-Hermitian systems: A methodological comparison
Despite acute interest in the dynamics of non-Hermitian systems, there is a lack of consensus in the mathematical formulation of non-Hermitian quantum mechanics in the community.
Karin Sim+3 more
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