Hermitian systems
Milne quantization for non-Hermitian systems
... Abstract: We generalize the Milne quantization condition to non-Hermitian systems. In the general case the underlying nonlinear Ermakov-Milne-Pinney equation needs to be replaced by a nonlinear integral ...
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Unitary quantum evolution for time-dependent quasi-Hermitian systems with nonobservable Hamiltonians
... Hamiltonian systems is a central and fundamental issue in quantum mechanics, especially with regard to physical ...for Hermitian Hamiltonian systems and can be found in almost any standard book on ...
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A squeezed review on coherent states and nonclassicality for non-Hermitian systems with minimal length
... non-Hermitian systems and related areas have been appealing, which became popular with the sem- inal paper by Bender and Boettcher in ...Hamiltonian systems possessing real eigenvalues are exploding ...
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Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
... (2.1). Considering the most general invariant non-Hermitian Hamiltonians in terms of bi- linear combinations of the generators of this algebra, we have systematically constructed isospectral counterparts from ...
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Eternal life of entropy in non-Hermitian quantum systems
... These systems pos- sess an exceptional point above which the PT symmetry is ...non-Hermitian systems as we will be showing how the evolution of entropy changes significantly as we vary the system ...
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Solvable two-dimensional time-dependent non-Hermitian quantum systems with infinite dimensional Hilbert space in the broken PT-regime
... This equation is ubiquitous in the context of solving time-dependent Hermitian systems, even in the Hermitian setting, see e.g. [24]. While some solutions to this equation are known, we demonstrate ...
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Non-Hermitian Hamiltonians of Lie algebraic type
... pseudo- Hermitian or more precisely, and more useful, to quasi-Hermitian Hamiltonian ...Hamiltonian systems for which an exact similarity transformation can be explicitly constructed, such that it ...
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Non Hermitian topological states in photonic systems
... First I consider numerical simulations of a chain of 300 coupled resonators. Start- ing from the Hermitian line A/W = B/W = 1 in figure 2.2 and looking at the interval 1 < B < 4.5, a cut is performed through ...
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Exact analytical solutions for time-dependent Hermitian Hamiltonian systems from static unobservable non-Hermitian Hamiltonians
... A priori it is not clear whether the equations above ac- tually admit nontrivial and meaningful solutions in the way described above. In fact, it was doubted that they make sense at all and were interpreted as a no-go ...
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Metric versus observable operator representation, higher spin models
... time-dependent-symmetric/quasi-Hermitian systems [2–4] another variant is possible in which the time- dependence is transferred from observables to metric ...For Hermitian systems one can ...
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Several matrix trace inequalities on Hermitian and skew Hermitian matrices
... Remark In this lemma, Weda’s theorem is applied to prove the matrix trace inequality of × Hermitian and skew-Hermitian matrices. However, it is difficult for us to extend this result to the ...
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Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems
... For solving large sparse non-Hermitian positive definite linear equations, Bai et al. proposed the Hermitian and skew-Hermitian splitting methods (HSS). They re- cently generalized this technique to ...
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Completeness and orthonormality in PT-symmetric quantum systems
... Some PT-symmetric non-Hermitian Hamiltonians have only real eigenvalues. There is numerical evidence that the associated PT-invariant energy eigenstates satisfy an unconventional completeness relation. An ad hoc ...
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HERMITIAN MANIFOLD GEOMETRY AND ITS EFFECTIVE IMPORTANCE: A STUDY
... http://ijmr.net.in, Email: [email protected] covers a wide extent of topics, for instance, Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic ...
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Construction of constant scalar curvature Kähler cone metrics
... Abstract. Over a compact K¨ ahler manifold, we provide a Fred- holm alternative result for the Lichnerowicz operator associated to a K¨ ahler metric with conic singularities along a divisor. We deduce several existence ...
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Equivalent Conditions on Conjugate Unitary Matrices
... Abstract — Concept of conjugate unitary matrices are given. Some equivalent conditions on conjugate unitary matrices are obtained. Conditions related to secondary unitary matrices, hermitian, s-hermitian ...
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Hermitian vs PT Symmetric Scalar Yukawa Model
... the Hermitian theory the phion propagator has a non-isolated singularity in the Euc- lidean region of momenta while for the Hermitian theory this singularity (an origin of a cut) moves in a pseudo- ...
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Hermitian Randić matrix and Hermitian Randić energy of mixed graphs
... In [], the authors proved that the skew energy of a directed tree is independent of its orientation. In [], the authors showed that the skew Randić energy of a directed tree has the same result. In this section, we ...
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Hermitian versus non-Hermitian representations for minimal length uncertainty relations
... We have shown how different representations for the operators X and P obeying a general- ized version of Heisenberg’s uncertainty relation are related to each other by the transfor- mations outlined in section. We have ...
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K hermitian doubly stochastic, s hermitian doubly stochastic and s k hermitian doubly stochastic matrices
... Proof: Let A and B are s-Hermitian doubly stochastic matrix if ̅ = V A* V and = V B* V . Since A*and B*are also s-Hermitian doubly stochastic matrices then A* = V ̅ V and B* = V V To prove A B is ...
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