Results 21 to 30 of about 1,770,713 (345)

κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass [PDF]

open access: yes, 2020
We present the quantum and classical mechanics formalisms for a particle with position-dependent mass in the context of a deformed algebraic structure (named $\kappa$-algebra), motivated by the Kappa-statistics.
Bruno G. da Costa, I. Gomez, M. Portesi
semanticscholar   +1 more source

Quantum–Classical Mechanics and the Franck–Condon Principle

open access: yesComputer Sciences & Mathematics Forum, 2023
Quantum–classical mechanics and the Franck–Condon principle related to quantum mechanics are discussed as two alternative theoretical approaches to molecular optical spectroscopy.
Vladimir V. Egorov
doaj   +1 more source

Transmutation of central forces and Bertrand’s theorem [PDF]

open access: yesTheoretical and Applied Mechanics, 2023
The transmutation of central forces, or dual law, is a transformation linking potentials in power law relative to the distance, that is, those having a positive exponent to those having a negative exponent.
Carimalo Christian
doaj   +1 more source

Classical Supersymmetric Mechanics [PDF]

open access: yesAnnals of Physics, 2000
We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B.
Rolf Heumann, Nicholas S. Manton
openaire   +3 more sources

Elementary Solution of Kepler Problem (and a few other problems)

open access: yesRevista Brasileira de Ensino de Física, 2022
We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.
M. Moriconi
doaj   +1 more source

Computation in classical mechanics [PDF]

open access: yesAmerican Journal of Physics, 2008
One way to introduce computation into the physics curriculum is to include it in a standard upper-level physics course. A course in intermediate classical mechanics is well-suited for this purpose. We discuss our approach and examples of student projects on solving differential equations and Liouville’s theorem, projectile motion on a rotating Earth ...
Javier E. Hasbun, Todd Timberlake
openaire   +3 more sources

Real numbers are the hidden variables of classical mechanics [PDF]

open access: yesQuantum Studies: Mathematics and Foundations, 2019
Do scientific theories limit human knowledge? In other words, are there physical variables hidden by essence forever? We argue for negative answers and illustrate our point on chaotic classical dynamical systems.
N. Gisin
semanticscholar   +1 more source

The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
One of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered.
Andrey I Mikhailov
doaj   +3 more sources

Measurement theory in classical mechanics [PDF]

open access: yesProgress of Theoretical and Experimental Physics, 2019
We investigate measurement theory in classical mechanics in the formulation of classical mechanics by Koopman and von Neumann (KvN), which uses Hilbert space. We show a difference between classical and quantum mechanics in the “relative interpretation”
So Katagiri
semanticscholar   +1 more source

Practical challenges in data‐driven interpolation: Dealing with noise, enforcing stability, and computing realizations

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
wiley   +1 more source

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