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]
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
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]
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]
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)
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
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Computation in classical mechanics [PDF]
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]
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
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
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Measurement theory in classical mechanics [PDF]
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
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