$\mathcal{PT}$-symmetric electronics

DOI10.1088/1751-8113/45/44/444029zbMath1261.81076arXiv1209.2347OpenAlexW1679473116MaRDI QIDQ4913259

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Publication date: 5 April 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2347

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Analytic circuit theory (94C05) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (23)

Novel PT-invariant solutions for a large number of real nonlinear equations ⋮ Localized modes in \(\mathcal{PT}\)-symmetric sine-Gordon couplers with phase shift ⋮ Krein signature for instability of \(\mathcal{PT}\)-symmetric states ⋮ 𝒫𝒯-symmetric and antisymmetric nonlinear states in a split potential box ⋮ Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models ⋮ Complex PT-invariant cnoidal and hyperbolic solutions of several real nonlinear equations ⋮ Coupled oscillators with parity-time symmetry ⋮ Pseudo-invariant approach for a particle in a complex time-dependent linear potential ⋮ Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry ⋮ Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model ⋮ Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl–Teller external potential ⋮ Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry ⋮ \(\mathcal{PT}\)-symmetric dimer in a generalized model of coupled nonlinear oscillators ⋮ Integrable oscillator type and Schrödinger type dimers ⋮ Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient ⋮ Pseudo-fermions in an electronic loss-gain circuit ⋮ Quantum mechanical settings inspired by RLC circuits ⋮ Non-self-adjoint hamiltonians defined by Riesz bases ⋮ Distribution of zeros of theS-matrix of chaotic cavities with localized losses and coherent perfect absorption: non-perturbative results ⋮ Anti- \(\mathcal{PT}\)-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator ⋮ Balancing gain and loss in symmetrised multi-well potentials ⋮ Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, $\mathcal{PT}$- and supersymmetric potential ⋮ Connections between complex PT-invariant solutions and complex periodic solutions of several nonlinear equations

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