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Quantum–Classical Mechanics: Nano-Resonance in Polymethine Dyes
It is well known in quantum mechanics that the theory of quantum transitions is based on the convergence of the series of time-dependent perturbation theory. This series converges in atomic and nuclear physics. However, in molecular and chemical physics,
Vladimir V. Egorov
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Mixing Quantum and Classical Mechanics [PDF]
Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is ...
A. A. Kirillov +59 more
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Algebraic solution for the classical harmonic oscillator
The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
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Seven Steps Towards the Classical World [PDF]
Classical physics is about real objects, like apples falling from trees, whose motion is governed by Newtonian laws. In standard Quantum Mechanics only the wave function or the results of measurements exist, and to answer the question of how the ...
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Gibbs and Boltzmann Entropy in Classical and Quantum Mechanics [PDF]
The Gibbs entropy of a macroscopic classical system is a function of a probability distribution over phase space, i.e., of an ensemble. In contrast, the Boltzmann entropy is a function on phase space, and is thus defined for an individual system. Our aim
S. Goldstein +3 more
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Development of an Algorithm to Determine the Most Efficient Trajectories in Directional Wells [PDF]
We present the development of an algorithm designed to determine the most efficient trajectories for directional wells, a key method used in oil and gas extraction.
R.R. Francisco +4 more
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Context affects student thinking about sources of uncertainty in classical and quantum mechanics
Measurement uncertainty is an important topic in the undergraduate laboratory curriculum. Previous research on student thinking about experimental measurement uncertainty has focused primarily on introductory-level students’ procedural reasoning about ...
Emily M. Stump +3 more
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Quantum Mechanics as Classical Physics [PDF]
Here I explore a novel no-collapse interpretation of quantum mechanics which combines aspects of two familiar and well-developed alternatives, Bohmian mechanics and the many-worlds interpretation.
Sebens, Charles
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Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical [PDF]
The question of how classical systems approach thermal equilibrium is as old as the foundations of thermodynamics and statistical mechanics. How quantum systems decohere and thermalize is even more puzzling. This Colloquium provides an account of how the
P. Talkner, P. Hänggi
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Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real? [PDF]
It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information.
N. Gisin
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