Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Guenther, Uwe"'
Autor:
Guenther, Uwe, Stefani, Frank
The $\mathcal{PT}-$symmetric quantum mechanical $V=ix^3$ model over the real line, $x\in\mathbb{R}$, is infrared (IR) truncated and considered as Sturm-Liouville problem over a finite interval $x\in\left[-L,L\right]\subset\mathbb{R}$. Via WKB and Sto
Externí odkaz:
http://arxiv.org/abs/1901.08526
Three ways of constructing a non-Hermitian matrix with possible all real eigenvalues are discussed. They are PT symmetry, pseudo-Hermiticity, and generalized PT symmetry. Parameter counting is provided for each class. All three classes of matrices ha
Externí odkaz:
http://arxiv.org/abs/1212.1861
Publikováno v:
J. Phys. A: Math. Theor. 45, (2012), 415304
The evolution speed in projective Hilbert space is considered for Hermitian Hamiltonians and for non-Hermitian (NH) ones. Based on the Hilbert-Schmidt norm and the spectral norm of a Hamiltonian, resource-related upper bounds on the evolution speed a
Externí odkaz:
http://arxiv.org/abs/1207.5373
Publikováno v:
PRA 85, 062122 (2012)
The beat time {\tau}_{fpt} associated with the energy transfer between two coupled oscillators is dictated by the bandwidth theorem which sets a lower bound {\tau}_{fpt}\sim 1/{\delta}{\omega}. We show, both experimentally and theoretically, that two
Externí odkaz:
http://arxiv.org/abs/1205.1847
Publikováno v:
J. Phys. A: Math. Theor. 45 444021 (2012)
We introduce four basic two-dimensional (2D) plaquette configurations with onsite cubic nonlinearities, which may be used as building blocks for 2D PT -symmetric lattices. For each configuration, we develop a dynamical model and examine its PT symmet
Externí odkaz:
http://arxiv.org/abs/1204.5530
Autor:
Guenther, Uwe, Kuzhel, Sergii
Publikováno v:
J.Phys.A43:392002,2010
Gauged PT quantum mechanics (PTQM) and corresponding Krein space setups are studied. For models with constant non-Abelian gauge potentials and extended parity inversions compact and noncompact Lie group components are analyzed via Cartan decompositio
Externí odkaz:
http://arxiv.org/abs/1006.1134
Publikováno v:
SIAM J. Math. Anal.42:1413-1447,2010
The existence of magnetohydrodynamic mean-field alpha^2-dynamos with spherically symmetric, isotropic helical turbulence function alpha is related to a non-self-adjoint spectral problem for a coupled system of two singular second order ordinary diffe
Externí odkaz:
http://arxiv.org/abs/1004.0231
Autor:
Guenther, Uwe, Samsonov, Boris F.
Publikováno v:
Phys.Rev.Lett.101:230404,2008
The quantum mechanical brachistochrone system with PT-symmetric Hamiltonian is Naimark dilated and reinterpreted as subsystem of a Hermitian system in a higher-dimensional Hilbert space. This opens a way to a direct experimental implementation of the
Externí odkaz:
http://arxiv.org/abs/0807.3643
Publikováno v:
Phys.Rev.E79:016205,2009
Using a homotopic family of boundary eigenvalue problems for the mean-field $\alpha^2$-dynamo with helical turbulence parameter $\alpha(r)=\alpha_0+\gamma\Delta\alpha(r)$ and homotopy parameter $\beta \in [0,1]$, we show that the underlying network o
Externí odkaz:
http://arxiv.org/abs/0806.1251
Autor:
Guenther, Uwe, Samsonov, Boris F.
Publikováno v:
Phys. Rev. A78, (2008), 042115
The PT-symmetric (PTS) quantum brachistochrone problem is reanalyzed as quantum system consisting of a non-Hermitian PTS component and a purely Hermitian component simultaneously. Interpreting this specific setup as subsystem of a larger Hermitian sy
Externí odkaz:
http://arxiv.org/abs/0709.0483