Results 1 to 10 of about 2,493 (230)
Quantum Metric Unveils Defect Freezing in Non-Hermitian Systems
Physical Review Letters, 2023 Non-Hermiticity in quantum Hamiltonians leads to nonunitary time evolution and possibly complex energy eigenvalues, which can lead to a rich phenomenology with no Hermitian counterpart.
Karin Sim +2 more
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Pseudo-Hermitian quantum mechanics with unbounded metric operators [PDF]
Philosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences, 2013 I extend the formulation of pseudo-Hermitian quantum mechanics to eta(+)-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta(+).
Ali Mostafazadeh
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Choice of a metric for the non-Hermitian oscillator [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 The harmonic oscillator Hamiltonian, when augmented by a non-Hermitian PT -symmetric part, can be transformed into a Hermitian Hamiltonian. This is achieved by introducing a metric which, in general, renders other observables such as the usual momentum ...
H B Geyer
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On anti-Hermitian metric connections
Comptes Rendus. Mathématique, 2014 It is a remarkable fact that anti-Kahler and its twin metrics share the same Levi-Civita connection. Such torsion-free metric connection also emphasizes the importance of anti-Hermitian metric connections with torsion in the study of anti-Hermitian ...
Salimov, Arif
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Hermitian Rank Metric Codes and Duality [PDF]
IEEE Access, 2021 In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for F-q2-linear matrix codes in the ambient space (F-q2)(n,m) and for both F-q2-additive codes and F-q2m-linear codes in the ambient space F-q2m(n).
Özbudak, Ferruh +2 more
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Perfect Hermitian rank-metric codes [PDF]
The Art of Discrete and Applied MathematicsThis study investigates Hermitian rank-metric codes, a special class of rank-metric codes, focusing on perfect codes and on the analysis of their covering properties. Firstly, we establish bounds on the size of spheres in the space of Hermitian matrices and, as a consequence, we show that non-trivial perfect codes do not exist in the Hermitian case. We
Usman Mushrraf
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Transactions of the American Mathematical Society, 2022 International audienceLet $(X,\omega)$ be a compact hermitian manifold of dimension $n$. We study the asymptotic behavior of Monge-Amp\`ere volumes $\int_X (\omega+dd^c \varphi)^n$, when $\omega+dd^c \varphi$ varies in the set of hermitian forms that are
Daniele Angella +5 more
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Special Hermitian metrics on Oeljeklaus-Toma manifolds [PDF]
Bulletin of the London Mathematical Society, 2020 Oeljeklaus-Toma (OT) manifolds are higher dimensional analogues of Inoue-Bombieri surfaces and their construction is associated to a finite extension $K$ of $Q$ and a subgroup of units $U$. We characterize the existence of pluriclosed metrics (also known as strongly K\" ahler with torsion (SKT) metrics) on any OT manifold $X(K, U)$ purely in terms of ...
Alexandra Otiman
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SINGULAR HERMITIAN METRICS WITH ISOLATED SINGULARITIES [PDF]
Nagoya Mathematical Journal, 2022 AbstractIn this paper, we study the coherence of a higher rank analogue of a multiplier ideal sheaf. Key tools of the study are Hörmander’s $L^2$ -estimate and a singular version of a Demailly–Skoda-type result.
Takahiro Inayama
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The MacWilliams Identity for the Hermitian Rank Metric [PDF]
CoRR, 2023 Error-correcting codes have an important role in data storage and transmission and in cryptography, particularly in the post-quantum era. Hermitian matrices over finite fields and equipped with the rank metric have the potential to offer enhanced security with greater efficiency in encryption and decryption.
Izzy Friedlander
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