Search Results - "Bracken, Paul"

Falling charge in a gravitational field and radiation reaction by Bracken, Paul

“…The Lorentz–Dirac equation is formulated and studied in flat Minkowski spacetime. A concise, novel derivation of the equation is presented. The problem is then…”
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RETRACTED: Bracken, P. Envariance as a Symmetry in Quantum Mechanics and Applications to Statistical Mechanics. Symmetry 2023, 15, 1923 by Bracken, Paul

“…The Symmetry Editorial Office retracts the article titled “Envariance as a Symmetry in Quantum Mechanics and Applications to Statistical Mechanics” [...]…”
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Envariance as a Symmetry in Quantum Mechanics and Applications to Statistical Mechanics by Bracken, Paul

“…A quantum symmetry called entanglement-assisted invariance, also called envariance, is introduced. It is studied with respect to the process of performing…”
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Notes regarding classical Fourier series by Bracken, Paul

“…A survey of some classical results from the theory of trigonomtrical series is presented, especially the case of Fourier series. Some new proofs are presented,…”
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Properties of a class of mean dependent on a parameter by Bracken, Paul

“…Some properties of a new class of binary symmetric mean M p ( a , b ) which depends on two positive numbers a and b , as well as a positive parameter p , are…”
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Dirac quantization with constraints within intrinsic geometry by Paul Bracken

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Asymptotic properties and behavior of some nontrivial sequences by Paul Bracken

“…The convergence properties and limiting behavior of several real sequences are studied by analytical means. Some remarkable properties of these sequences are…”
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A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space by Bracken, Paul

“…The Cartan structure equations are used to study space-like and time-like isothermic surfaces in three-dimensional Minkowski space in a unified framework. When…”
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A class of transformations of a quadratic integral generating dynamical systems by Paul Bracken

“…A class of transformation is investigated which maps a quadratic integral back to its original form but under a redefinition of free parameters. When this…”
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A geometric formulation of Lax integrability for nonlinear equationsin two independent variables by Bracken, Paul

“…A geometric formulation of Lax integrability is introduced which makes use of a Pfaffianformulation of Lax integrability. The Frobenius theorem gives a…”
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Applications of the lichnerowicz Laplacian to stress energy tensors by Bracken, Paul

“…A generalization of the Laplacian for p-forms to arbitrary tensors due to Lichnerowicz will be applied to a 2-tensor which has physical applications. It is…”
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A quantum version of the classical Szilard engine by Bracken Paul

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Harmonic Maps Surfaces and Relativistic Strings by Bracken, Paul

“…The harmonic map is introduced and several physical applications are presented. The classical nonlinear σ model can be looked at as the embedding of a…”
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Geometric Methods to Investigate Prolongation Structures for Differential Systems with Applications to Integrable Systems by Bracken, Paul

“…A type of prolongation structure for several general systems is discussed. They are based on a set of one forms for which the underlying structure group of the…”
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Free Energy Differences in Nonequilibrium Thermodynamic Processes by Bracken, Paul

“…Systems which may be allowed to go out of equilibrium have been of interest recently. A quantity is formulated whose average over an ensemble of microscopic…”
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Evolution of eigenvalues of a geometric operator under Ricci flow on a Riemannian manifold by Bracken, Paul

“…The behavior of the eigenvalues of a geometric operator closely related to the Laplacian under Ricci flow is investigated. These depend on a coupling parameter…”
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Geometric aspects of quantization and relationship to integrability by Bracken, Paul

“…It is the case that quantum mechanics has a deep geometric structure and can be presented accordingly. Quantum mechanics is to a certain degree foreshadowed by…”
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Algebraic Realizations of the Solutions for Three Quantum Mechanical Systems by Bracken, Paul

“…Several quantum mechanical problems are studied all of which can be approached using algebraic means. The first problem introduces a large class of Hamiltonian…”
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Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces by Bracken, Paul

“…The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical…”
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An action for a classical string, the equation of motion and group invariant classical solutions by Bracken Paul

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