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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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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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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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Speakable in quantum mechanics [PDF]
At the 1927 Como conference Bohr spoke the now famous words "It is wrong to think that the task of physics is to find out how nature is. Physics concerns what we can say about nature." However, if the Copenhagen interpretation really holds on to this motto, why then is there this feeling of conflict when comparing it with realist interpretations ...
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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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Using a novel quasi-relativistic wave equation, which can give precise results up to energies ~mc2, exact quantum mechanical solutions are found which corresponds to a particle with mass moving through one-dimensional piecewise constant potentials.
Luis Grave de Peralta
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Realism and objectivism in quantum mechanics [PDF]
The present study attempts to provide a consistent and coherent account of what the world could be like, given the conceptual framework and results of contemporary quantum theory. It is suggested that standard quantum mechanics can, and indeed should, be
Karakostas, V., Karakostas, Vassilios
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