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Energy Conditions for Hamiltonian and Traceable Graphs
Universal Journal of Mathematics and Applications, 2019 A graph is called Hamiltonian (resp. traceable) if the graph has a Hamiltonian cycle (resp. path), a cycle (resp. path) containing all the vertices of the graph. The energy of a graph is defined as the sum of the absolute values of the eigenvalues of the
Rao Li
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Antithetic Magnetic and Shadow Hamiltonian Monte Carlo
IEEE Access, 2021 Hamiltonian Monte Carlo is a Markov Chain Monte Carlo method that has been widely applied to numerous posterior inference problems within the machine learning literature. Markov Chain Monte Carlo estimators have higher variance than classical Monte Carlo
Wilson Tsakane Mongwe +2 more
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Port-Hamiltonian systems: an introductory survey [PDF]
, 2006 The theory of port-Hamiltonian systems provides a framework for the geometric description of network models of physical systems. It turns out that port-based network models of physical systems immediately lend themselves to a Hamiltonian description ...
Schaft, Arjan van der
core +4 more sources
, 2011 We study a diagonalizable Hamiltonian that is not at first hermitian. Requirement that a measurement shall not change one Hamiltonian eigenstate into another one with a different eigenvalue imposes that an inner product must be defined so as to make the ...
Nagao, Keiichi, Nielsen, Holger Bech
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Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
Living Reviews in Relativity, 2018 Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion of compact binaries are discussed within the
G. Schäfer, P. Jaranowski
semanticscholar +1 more source
Hamiltonian paths and hamiltonian connectivity in graphs
Discrete Mathematics, 1993 AbstractLet G be a 2-connected graph with n vertices such that d(u)+d(v)+d(w)-|N(u)∩N(v)∩N(w)| ⩾n + 1 holds for any triple of independent vertices u, v and w. Then for any distinct vertices u and v such that {u, v} is not a cut vertex set of G, there is a hamiltonian path between u and v.
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Universal quantum Hamiltonians [PDF]
Proceedings of the National Academy of Sciences, 2018 Significance Quantum many-body systems exhibit a bewilderingly diverse range of behavior, which forms the central object of study in many areas of physics and beyond. Our work reveals that, in fact, the entire physics of every other quantum many-body system is replicated in certain simple, universal quantum spin-lattice models.
Toby S. Cubitt +2 more
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Engineering a Spin‐Orbit Bandgap in Graphene‐Tellurium Heterostructures
Advanced Functional Materials, EarlyView.Tellurium intercalation in epitaxial graphene on Ir(111) enables the emergence of a spin–orbit‐induced bandgap with energy spin splitting. By combining STM, ARPES, spin‐resolved ARPES, and DFT, two structural phases are identified, both exhibiting tunable electronic doping.
Beatriz Muñiz Cano +14 more
wiley +1 more source
High‐Entropy Magnetism of Murunskite
Advanced Functional Materials, EarlyView.The study of murunskite (K2FeCu3S4) reveals that its magnetic and orbital order emerges in a simple I4/mmm crystal structure with complete disorder in the transition metal positions. Mixed‐valence Fe ions randomly occupy 1/4 of the tetrahedral sites, with the remaining 3/4 being filled by non‐magnetic Cu+ ions.
Davor Tolj +18 more
wiley +1 more source
On the Curvature and Heat Flow on Hamiltonian Systems
Analysis and Geometry in Metric Spaces, 2014 We develop the differential geometric and geometric analytic studies of Hamiltonian systems. Key ingredients are the curvature operator, the weighted Laplacian, and the associated Riccati equation.We prove appropriate generalizations of the Bochner ...
Ohta Shin-ichi
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