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Pseudo-Hermitian Quantum Mechanics with Unbounded Metric Operators [PDF]
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2012 We extend the formulation of pseudo-Hermitian quantum mechanics to eta-pseudo-Hermitian Hamiltonian operators H with an unbounded metric operator eta. In particular, we give the details of the construction of the physical Hilbert space, observables, and ...
Blank J +3 more
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Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry [PDF]
Advances in High Energy Physics, 2015 The Dirac Hamiltonian in the (2+1)-dimensional curved space-time has been studied with a metric for an expanding de Sitter space-time which is two spheres.
Özlem Yeşiltaş
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The differential geometry of almost Hermitian almost contact metric submersions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Three types of Riemannian submersions whose total space is an almost Hermitian almost contact metric manifold are studied. The study is focused on fundamental properties and the transference of structures.
T. Tshikuna-Matamba
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Hermitian Rank Metric Codes and Duality
IEEE Access, 2021 In this paper we define and study rank metric codes endowed with a Hermitian form. We analyze the duality for $\mathbb {F}_{q^{2}}$ -linear matrix codes in the ambient space $(\mathbb {F}_{q^{2}})_{n,m}$ and for both $\mathbb {F}_{q^{2}}$ -additive ...
Javier De La Cruz +2 more
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Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement [PDF]
EntropyMulti-agent systems (MAS) typically model interaction topologies using directed or undirected graphs when analyzing consensus convergence rates. However, as system complexity increases, purely directed or undirected networks may be insufficient to ...
He Deng, Tingzeng Wu
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Hermitian metrics with (anti-)self-dual Riemann tensor [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 Equations of (anti-)self-duality for the components of the LeviCivita connection of the Hermitian positive definite metric (not for the Riemann tensor) are compiled.
Leonid Krivonosov, Vyacheslav Luk'yanov
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On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
Дифференциальная геометрия многообразий фигур, 2021 It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
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Pseudo-hermitian random matrix models: General formalism
Nuclear Physics B, 2022 Pseudo-hermitian matrices are matrices hermitian with respect to an indefinite metric. They can be thought of as the truncation of pseudo-hermitian operators, defined over some Krein space, together with the associated metric, to a finite dimensional ...
Joshua Feinberg, Roman Riser
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Beyond PT-symmetry: Towards a symmetry-metric relation for time-dependent non-Hermitian Hamiltonians
SciPost Physics Core, 2022 In this work we first propose a method for the derivation of a general continuous antilinear time-dependent (TD) symmetry operator I(t) for a TD non-Hermitian Hamiltonian H(t). Assuming H(t) to be simultaneously ρ(t)-pseudo-Hermitian and Ξ(t)-anti-pseudo-
Luís F. Alves da Silva, Rodrigo A. Dourado, Miled H. Y. Moussa
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Physical Review Research, 2022 The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbeinlike formalism which transforms the Hilbert space bundles of non-Hermitian systems into the conventional ones, rendering ...
Chia-Yi Ju +5 more
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