Results 51 to 60 of about 587,938 (239)
TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: In this paper, we develop the basic theory of linear \(q\)-Hamiltonian systems. In this context, we establish an existence and uniqueness result. Regular spectral problems are studied. Later, we introduce the corresponding maximal and minimal operators for this system. Finally, we give a spectral resolution.
Bilender PAŞAOĞLU ALLAHVERDİEV +1 more
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Compatible Hamiltonian Operators for the Krichever-Novikov Equation [PDF]
, 2017 It has been proved by V. Sokolov that the Krichever-Novikov equation's hierarchy is hamiltonian for the non-local Hamiltonian operator H_0=u_x D^{-1} u_x and possesses twi weakly non-local recursion operatos of degree 4 and 6, L_4 and L_6.
Carpentier, Sylvain
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East European Journal of PhysicsThis study investigates the kinetic properties of both symmetrical and asymmetrical multilayer and nano-sized semiconductor structures. We develop a theoretical framework using various models and mathematical methods to solve the Schrödinger matrix ...
Rustam Y. Rasulov +4 more
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Reducibility for a class of almost periodic Hamiltonian systems which are degenerate
AIMS Mathematics, 2023 This paper studies the reducibility for a class of Hamiltonian almost periodic systems that are degenerate in a small perturbation parameter. We prove for most of the sufficiently small parameter, the Hamiltonian system is reducible by a symplectic ...
Jia Li , Xia Li, Chunpeng Zhu
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Hamiltonicities of Double Domination Critical and Stable Claw-Free Graphs
Discussiones Mathematicae Graph Theory, 2019 A graph G with the double domination number γ×2(G) = k is said to be k- γ×2-critical if γ×2 (G + uv) < k for any uv ∉ E(G). On the other hand, a graph G with γ×2 (G) = k is said to be k-γ×2+$k - \gamma _{ \times 2}^ + $-stable if γ×2 (G + uv) = k for any
Kaemawichanurat Pawaton
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Projective geometry of homogeneous second-order Hamiltonian operators [PDF]
, 2023 Pierandrea Vergallo, Raffaele Vitolo
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Journal of Operator Theory, 2021 We reconcile, at the semi-classical level, the original spectral realization of zeros of the Riemann zeta function as an ``absorption'' picture using the ad\`ele class space, with the ``emission'' semi-classical computations of Berry and Keating. We then use the quantized calculus to analyse the recent attempt of X.-J.~Li at proving Weil's positivity ...
Connes, Alain, Consani, Caterina
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Covariant Hamiltonian field theory. Path integral quantization
, 2004 The Hamiltonian counterpart of classical Lagrangian field theory is covariant Hamiltonian field theory where momenta correspond to derivatives of fields with respect to all world coordinates.
Bashkirov, D., Sardanashvily, G.
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Model of a three-qubit cluster in a thermal bath
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2023 This work studies a mathematical model of a quantum cluster consisting of three qubits and being in thermal equilibrium with the environment. The effective Hamiltonian is invariant under permutations of qubits and consists of two parts. The first part is
E. Andre, A.N. Tsirulev
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Nature CommunicationsSimulating quantum dynamics is one of the most important applications of quantum computers. Traditional approaches for quantum simulation involve preparing the full evolved state of the system and then measuring some physical quantity. Here, we present a different and novel approach to quantum simulation that uses a compressed quantum state that we ...
Rolando D. Somma +4 more
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