Results 281 to 290 of about 154,862 (311)

The Pizza-Cutter’s Problem and Hamiltonian Paths

Mathematics Magazine, 2019
Summary. The pizza-cutter’s problem is to determine the maximum number of pieces that can be made with n straight cuts through a circular pizza, regardless of the size and shape of the pieces.
Moreira dos Santos, Céline, Baril, Jean-Luc, Moreira, Céline, Santos, Dos   +3 more
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A diabatic reaction path Hamiltonian

The Journal of Chemical Physics, 1988
A 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.
Beverly A. Ruf, William H. Miller, Yan‐Tyng Chang   +2 more
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Hamiltonian Paths in the Square of a Tree [PDF]

, 2011
We introduce a new family of graphs for which the Hamiltonian path problem is non-trivial and yet has a linear time solution. The square of a graph G=(V,E), denoted as G2, is a graph with the set of vertices V, in which two vertices are connected by an edge if there exists a path of length at most 2 connecting them in G.
Wojciech Rytter, Jakub Radoszewski
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On evaluating the reaction path Hamiltonian

The Journal of Chemical Physics, 1988
This paper examines a number of aspects of evaluating the reaction path Hamiltonian (RPH) of Miller, Handy, and Adams. The reaction path is represented as a Taylor series expansion of mass weighted Cartesian coordinates as a function of arc length. The second (path tangent) and third (path curvature) coefficients in the Taylor series are important in ...
James W. McIver, Michael Page
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Hamiltonian path integrals

2011
The properties of path integrals associated with the allowance for nonstandard terms reflecting the operator nature of the canonical variables are considered. Rules for treating such terms (''equivalence rules'') are formulated. Problems with a boundary, the behavior of path integrals under canonical transformations, and the problem of quantization of ...
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A reaction path Hamiltonian defined on a Newton path

The Journal of Chemical Physics, 2002
A reaction path Hamiltonian is formulated in terms of a Newton reference path. The defining differential equation for the latter is solved by quadratically expanding the original equation, which in turn leads to an improved formulation of the reaction path Hamiltonian.
Josep Maria Bofill, Xavier Giménez, Javier González   +2 more
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On the hamiltonian path graph of a graph

Journal of Graph Theory, 1987
AbstractThe hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and v are adjacent if and only if F contains a hamiltonian u − v path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian graphs isomorphic to their hamiltonian path ...
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Hamiltonian Path-Integral Methods

Reviews of Modern Physics, 1966
A path-integral formulation of quantum mechanics is investigated which is closely related to that of Feynman. It differs from Feynman's formulation in that it involves the Hamiltonian function of the canonically conjugate coordinates and momenta.
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Restricted Hamiltonian Paths and Cycles

2009
In this chapter we discuss results on hamiltonian paths and cycles with special properties. We start by studying hamiltonian paths with one or more end-vertices prescribed, that is, we study paths which start in a given vertex, paths which connect two prescribed vertices and, finally, paths which start and end in specified vertices.
Gregory Gutin, Jørgen Bang-Jensen
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State preparation and evolution in quantum computing: A perspective from Hamiltonian moments

International Journal of Quantum Chemistry, 2022
Trevor Keen, Bo Peng
exaly