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Heisenberg's Philosophical Approaches in the Development of Quantum Mechanics with the Copenhagen Interpretation [PDF]
Heisenberg is one of the founders of quantum mechanics, and one of the pioneers and intellectual leaders of the Copenhagen interpretation of quantum mechanics. He proposed in two seminal papers in 1925 and 1927, the fundamentals of matrix mechanics (1925)
Seyyed Hedayat Sajadi
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Analysis of contribution of matrix mechanics on quantum mechanics [PDF]
In this paper the analysis and discussion about the contribution made by matrix mechanics, i.e. the establishment of complex form of quantum mechanics and the proposal of mathematic formalism of uncertainty principle, to the development of quantum ...
Ren Zhi
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Quantum Information Dimension and Geometric Entropy
Geometric quantum mechanics, through its differential-geometric underpinning, provides additional tools of analysis and interpretation that bring quantum mechanics closer to classical mechanics: state spaces in both are continuous and equipped with ...
Fabio Anza, James P. Crutchfield
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Berry's phase in noncommutative spaces [PDF]
We introduce the perturbative aspects of noncommutative quantum mechanics. Then we study the Berry's phase in the framework of noncommutative quantum mechanics. The results show deviations from the usual quantum mechanics which depend on the parameter of
Alavi S A +10 more
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The quantum double as quantum mechanics [PDF]
36 pages. Revised to include full details for the simplest example based on sl_2. Accepted to appear in J.
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The implementation of Lévy path integral generated by Lévy stochastic process on fractional Schrödinger equation has been investigated in the framework of fractional quantum mechanics.
Chandra Halim, M. Farchani Rosyid
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Modeling on in vivo disposition and cellular transportation of RNA lipid nanoparticles via quantum mechanics/physiologically-based pharmacokinetic approaches. [PDF]
Wang W, Deng S, Lin J, Ouyang D.
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Probability, Entropy, and Gibbs’ Paradox(es)
Two distinct puzzles, which are both known as Gibbs’ paradox, have interested physicists since they were first identified in the 1870s. They each have significance for the foundations of statistical mechanics and have led to lively discussions with
Robert H. Swendsen
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QUANTUM MECHANICS AS QUANTUM MEASURE THEORY [PDF]
The additivity of classical probabilities is only the first in a hierarchy of possible sum rules, each of which implies its successor. The first and most restrictive sum rule of the hierarchy yields measure theory in the Kolmogorov sense, which is appropriate physically for the description of stochastic processes such as Brownian motion.
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The Many Classical Faces of Quantum Structures
Interpretational problems with quantum mechanics can be phrased precisely by only talking about empirically accessible information. This prompts a mathematical reformulation of quantum mechanics in terms of classical mechanics.
Chris Heunen
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