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19932026
most citedDeep learning for cardiac image segmentation: A review

870 citations

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18 papers · 1 filter

quant-ph2019★ 38 cited

Eternal life of entropy in non-Hermitian quantum systems

Andreas Fring, Thomas Frith

We find a new effect for the behaviour of Von Neumann entropy. For this we derive the framework for describing Von Neumann entropy in non-Hermitian quantum systems and then apply i…

quant-ph2018★ 23 cited

Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems

Julia Cen, Andreas Fring, Thomas Frith

We propose time-dependent Darboux (supersymmetric) transformations that provide a scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner Hamiltonian…

quant-ph2018★ 15 cited

Quasi-exactly solvable quantum systems with explicitly time-dependent Hamiltonians

Andreas Fring, Thomas Frith

For a large class of time-dependent non-Hermitain Hamiltonians expressed in terms linear and bilinear combinations of the generators for an Euclidean Lie-algebra respecting differe…

quant-ph2018★ 28 cited

Entangling three qubits without ever touching

Pawel Blasiak, Marcin Markiewicz

All identical particles are inherently correlated from the outset, regardless of how far apart their creation took place. In this paper, this fact is used for extraction of entangl…

quant-ph2016★ 15 cited

Metric versus observable operator representation, higher spin models

Andreas Fring, Thomas Frith

We elaborate further on the metric representation that is obtained by transferring the time-dependence from a Hermitian Hamiltonian to the metric operator in a related non-Hermitia…

quant-ph2016★ 4 cited

Klein-Gordon equation for a charged particle in space varying electromagnetic fields-A systematic study via Laplace transform

Tapas Das, Altug Arda

Exact solutions of the Klein-Gordon equation for a charged particle in the presence of three spatially varying electromagnetic fields, namely, (i) ,…

quant-ph2016★ 70 cited

The non-Hermitian Swanson model with a time-dependent metric

Andreas Fring, Miled H. Y. Moussa

We provide further non-trivial solutions to the recently proposed time-dependent Dyson and quasi-Hermiticity relation. Here we solve them for the generalized version of the non-Her…

quant-ph2015★ 120 cited

Unitary quantum evolution for time-dependent quasi-Hermitian systems with non-observable Hamiltonians

Andreas Fring, Miled H. Y. Moussa

It has been argued that it is incompatible to maintain unitary time-evolution for time-dependent non-Hermitian Hamiltonians when the metric operator is explicitly time-dependent. W…

quant-ph2015

A unifying E2-quasi-exactly solvable model

Andreas Fring

A new non-Hermitian E2-quasi-exactly solvable model is constructed containing two previously known models of this type as limits in one of its three parameters. We identify the opt…

quant-ph2015★ 34 cited

Nonclassicality versus entanglement in a noncommutative space

Sanjib Dey, Andreas Fring, Véronique Hussin

In a setting of noncommutative space with minimal length we confirm the general assertion that the more nonclassical an input state for a beam splitter is, the more entangled its o…

quant-ph2015★ 3 cited

Time-dependent massless Dirac fermions in graphene

Boubakeur Khantoul, Andreas Fring

Using the Lewis-Riesenfeld method of invariants we construct explicit analytical solutions for the massless Dirac equation in 2+1 dimensions describing quasi-particles in graphene.…

quant-ph2014★ 12 cited

Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type

Sanjib Dey, Andreas Fring, Thilagarajah Mathanaranjan

We propose a noncommutative version of the Euclidean Lie algebra . Several types of non-Hermitian Hamiltonian systems expressed in terms of generic combinations of the generat…

quant-ph2014★ 2 cited

Exact scattering matrix of graphs in magnetic field and quantum noise

Vincent Caudrelier, Mihail Mintchev, Eric Ragoucy

We consider arbitrary quantum wire networks modelled by finite, noncompact, connected quantum graphs in the presence of an external magnetic field. We find a general formula for th…

quant-ph2013★ 25 cited

A non self-adjoint model on a two dimensional noncommutative space with unbound metric

Fabio Bagarello, Andreas Fring

We demonstrate that a non self-adjoint Hamiltonian of harmonic oscillator type defined on a two-dimensional noncommutative space can be diagonalized exactly by making use of pseudo…

quant-ph2013★ 38 cited

Bohmian quantum trajectories from coherent states

Sanjib Dey, Andreas Fring

We find that real and complex Bohmian quantum trajectories resulting from well-localized Klauder coherent states in the quasi-Poissonian regime possess qualitatively the same type…

quant-ph2013★ 32 cited

Hermitian versus non-Hermitian representations for minimal length uncertainty relations

Sanjib Dey, Andreas Fring, Boubakeur Khantoul

We investigate four different types of representations of deformed canonical variables leading to generalized versions of Heisenberg's uncertainty relations resulting from noncommu…

quant-ph2006★ 48 cited

Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation

Carla Figueira de Morisson Faria, Andreas Fring

We provide a reviewlike introduction into the quantum mechanical formalism related to non-Hermitian Hamiltonian systems with real eigenvalues. Starting with the time-independent fr…

quant-ph2002★ 4 cited

Quantum Mechanics with Difference Operators

V. K. Dobrev, H. -D. Doebner, R. Twarock

A formulation of quantum mechanics with additive and multiplicative (q-)difference operators instead of differential operators is studied from first principles. Borel-quantisation…