Relevant bibliographies by topics / Quantum theory – General mathematical topics and methods in quantum theory – Quantum chaos

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Academic literature on the topic 'Quantum theory – General mathematical topics and methods in quantum theory – Quantum chaos'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 July 2025

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Journal articles on the topic "Quantum theory – General mathematical topics and methods in quantum theory – Quantum chaos"

1

Chang, Yi-Fang. "Biomathematics and Extensive Quantum Statistics of DNA and Biology." European Journal of Theoretical and Applied Sciences 3, no. 2 (2025): 423–38. https://doi.org/10.59324/ejtas.2025.3(2).36.

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First, some specific biomathematics is introduction. Next, two new mathematical methods are applied in biology, both are the simple joint relation of algebra in set theory, and the tree-field representation and the extensive Feynman diagrams in the graph theory. Third, the Cambrian life explosion originated from unicellular to bicellular to multicellular, so we propose that it can be explained by chaos. Fourth, based on the extensive quantum biology and the biological particles, we propose the extensive quantum statistics of DNA and biology, and corresponding quantum equations. Fifth, we discu
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2

Yi-Fang, Chang. "Biomathematics and Extensive Quantum Statistics of DNA and Biology." European Journal of Theoretical and Applied Sciences 3, no. 2 (2025): 423–38. https://doi.org/10.59324/ejtas.2025.3(2).36.

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First, some specific biomathematics is introduction. Next, two new mathematical methods are applied in biology, both are the simple joint relation of algebra in set theory, and the tree-field representation and the extensive Feynman diagrams in the graph theory. Third, the Cambrian life explosion originated from unicellular to bicellular to multicellular, so we propose that it can be explained by chaos. Fourth, based on the extensive quantum biology and the biological particles, we propose the extensive quantum statistics of DNA and biology, and corresponding quantum equations. Fifth, we discu
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3

Prigogine, Ilya. "From Poincare's Divergences to Quantum Mechanics with Broken Time Symmetry." Zeitschrift für Naturforschung A 52, no. 1-2 (1997): 37–45. http://dx.doi.org/10.1515/zna-1997-1-212.

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AbstractWe discuss the spectral property of unstable dynamical systems in both classical and quantum mechanics. An important class of unstable dynamical systems corresponds to the Large Poincare Systems (LPS). Conventional perturbation technique leads then to divergences. We introduce methods for the elimination of Poincare divergences to obtain a solution of the spectral problem analytic in the coupling constant. To do so, we have to enlarge the class of permissible transformations, to include non-unitary transformations as well as to extend the Hilbert space. A simple example refers to the F
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4

طاهر, اسماء نيازي, and بيمان فؤاد رحمن. "Chaos theory and the Generation Of the Architectural form." Journal of Engineering 16, no. 01 (2010): 800–824. http://dx.doi.org/10.31026/j.eng.2010.01.01.

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The modern era features the incredible production knowledge by quantum and qualities and with quick changes in theories, interesting practices and even knowledge s view points. In the last years new thinking methods boomed in the mathematical field that refers to chaos theory, this field which continues in growth and evolution quickly in different directions, with all the practical potentiality that carried in large and variety phenomena's. The tools and the concepts of the theory is considered as a radical cutting with the known mathematical manners that based the modern science since Galileo
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Richter, Klaus, Juan Diego Urbina, and Steven Tomsovic. "Semiclassical roots of universality in many-body quantum chaos." Journal of Physics A: Mathematical and Theoretical, October 28, 2022. http://dx.doi.org/10.1088/1751-8121/ac9e4e.

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Abstract Quantum chaos of many-body systems has been swiftly developing into a vibrant research area at the interface between various disciplines, ranging from statistical physics to condensed matter to quantum information and to cosmology. In quantum systems with a classical limit, advanced semiclassical methods provide the crucial link between classically chaotic dynamics and corresponding universal features at the quantum level. Recently, single-particle techniques dealing with ergodic wave interference in the usual semiclassical limit ħ → 0 have begun to be transformed into the field theor
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Bhattacharjee, Deep. "M-Theory and F-Theory over Theoretical Analysis on Cosmic Strings and Calabi-Yau Manifolds Subject to Conifold Singularity with Randall-Sundrum Model." Asian Journal of Research and Reviews in Physics, July 15, 2022, 25–40. http://dx.doi.org/10.9734/ajr2p/2022/v6i230181.

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String theory always comes with heavy mathematical rigor as it questions the most significant and impossible attempt to make a scale-invariant phenomenology between general relativity and quantum theory. Thus, steps have been taken to simplify the theory a bit thereby making it accessible to general yet enthusiastic readers of physics. However, as there is numerous mathematics involved in the modeling of this theory, thus, any chance to make a purely non-mathematical approach towards strings would prove vacuous and intimidating making the pathway of this marvelous theory chocked with unnecessa
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Books on the topic "Quantum theory – General mathematical topics and methods in quantum theory – Quantum chaos"

1

Teschl, Gerald. Mathematical methods in quantum mechanics: With applications to Schrödinger operators. American Mathematical Society, 2009.

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Simon, Barry. Operator theory. American Mathematical Society, 2015.

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Misra, Kailash C., Milen Yakimov, Pramod N. Achar, and Dijana Jakelic. Recent advances in representation theory, quantum groups, algebraic geometry, and related topics: AMS special sessions on geometric and algebraic aspects of representation theory and quantum groups, and noncommutative algebraic geometry, October 13-14, 2012, Tulane University, New Orleans, Louisiana. American Mathematical Society, 2014.

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Nev.) International Conference on Scientific Computing and Applications (8th 2012 Las Vegas. Recent advances in scientific computing and applications: Eigth International Conference on Scientific Computing and Applications, April 1-4, 2012, University of Nevada, Las Vegas, Nevada. Edited by Li, Jichun, editor of compilation, Yang, Hongtao, 1962- editor of compilation, and Machorro, Eric A. (Eric Alexander), 1969- editor of compilation. American Mathematical Society, 2013.

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International Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal). Advances in non-Archimedean analysis: Eleventh International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France. Edited by Araujo-Gomez Jesus 1965-, Diarra B. (Bertin) 1944-, and Escassut Alain. American Mathematical Society, 2011.

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Mathematical methods in quantum mechanics: With applications to Schrödinger operators. American Mathematical Society, 2014.

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Mathematical Theory of Scattering Resonances. American Mathematical Society, 2019.

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8

Autschbach, Jochen. Quantum Theory for Chemical Applications. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190920807.001.0001.

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‘Quantum Theory for Chemical Applications (QTCA): From basic concepts to advanced topics’ is an introduction to quantum theory for students and practicing researchers in chemistry, chemical engineering, or materials chemistry. The text is self-contained such that only knowledge of high school physics, college introductory calculus, and college general chemistry is required, and it features many worked-out exercises. QTCA places special emphasis on the orbital models that are central to chemical applications of quantum theory. QTCA treats the important basic topics that a quantum theory text fo
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9

Korsch, H. J. Chaos: A Program Collection for the PC. Springer, 1994.

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Jodl, H. J., and H. J. Korsch. Chaos: A Program Collection for the PC. Springer, 1994.

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Book chapters on the topic "Quantum theory – General mathematical topics and methods in quantum theory – Quantum chaos"

1

Carlip, Steven. "Next steps." In General Relativity. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198822158.003.0013.

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This final chapter consists of a brief discussion of where the reader can go from here: active research topics in general relativity and gravitation, open questions, and ideas for further study. Topics include exact and approximate solutions of the field equations, including numerical methods and perturbation theory; problems in mathematical relativity, including global geometric methods, singularity theorems, cosmic censorship, and asymptotic conditions; alternative models such as scalar-tensor models; approaches to quantum gravity; and experimental gravity. These topics are not discussed in
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