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Generalized reaction-path Hamiltonian dynamics
Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta), 2004The reaction-path Hamiltonian is reformulated in a form that is independent of the specific choice of guiding path. A necessary and sufficient condition for a given curve to satisfy reaction-path Hamiltonian requirements is derived, showing that any curve with no explicit dependence on the independent parameter does give rise to a formally acceptable ...
Javoer Gonz�lez +2 more
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Crossing-Free Acyclic Hamiltonian Path Completion for Planar st-Digraphs
International Symposium on Algorithms and Computation, 2009In this paper we study the problem of existence of a crossing-free acyclic hamiltonian path completion (for short, HP-completion) set for embedded upward planar digraphs.
T. Mchedlidze, A. Symvonis
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A diabatic reaction path Hamiltonian
The Journal of Chemical Physics, 1988A reaction path Hamiltonian is constructed that is based on a straight-line, least motion path that interpolates linearly between equilibrium reactant and product geometries of the molecular system. Conservation of linear and angular momentum are correctly accounted for.
William H. Miller +2 more
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Path Integrals for Pseudo-Hermitian Hamiltonians
International Journal of Theoretical Physics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation algorithms for the k-depots Hamiltonian path problem
Optimization Letters, 2021Yichen Yang, Zhaohui Liu, Wei Yu
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Hamiltonian Operators via Feynman Path Integrals
Journal of Mathematical Physics, 1970It is shown that Kerner and Sutcliffe's derivation leading to a unique quantum mechanical Hamiltonian from its classical counterpart is indeed not unique. This is done by using the same method as Kerner and Sutcliffe to derive different quantum Hamiltonians from the same classical Hamiltonian.
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PATH INTEGRALS FOR QUASI-HERMITIAN HAMILTONIANS
International Journal of Modern Physics D, 2011Inner products in quasi-Hermitian quantum theories, and hence probabilities, are defined through a metric that depends on the details of the Hamiltonians themselves. We shall see that the functional integral for quasi-Hermitian theories, and hence Feynman diagrams, for example, can be calculated without needing to evaluate the metric. The reason turns
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The Hamiltonian alternating path problem
2012In this paper, we consider the Hamiltonian alternating path problem for graphs, multigraphs, and digraphs. We describe an approach to solve the problem. This approach is based on constructing logical models for the problem. We use logical models for the Hamiltonian alternating path problem to solve the Hamiltonian path problem and the planning a ...
Gorbenko, Anna, Popov, Vladimir
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Path Integrals and Hamiltonians
2014Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers ...
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Hamiltonian path in permutation graphs
Theoretical Computer ScienceThe Hamiltonian path problem is NP-complete for general graphs. The notion of a follow-up vertex in a permutation graph is introduced in this research, with respect to its Hasse diagram. A necessary and sufficient condition is justified for the existence of a Hamiltonian path in a permutation graph in terms of the existence of a follow-up vertex ...
Krishna Daripa, Alak Kumar Datta
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