Results 11 to 20 of about 405,321 (199)
Algebraic quantum codes: linking quantum mechanics and discrete mathematics [PDF]
International Journal of Computer Mathematics: Computer Systems Theory, 2020 19 pages; written for both mathematicians and ...
Markus Grassl
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Hypercomplex Algebras and their application to the mathematical formulation of Quantum Theory
, 2014 Quantum theory (QT), namely in terms of Schr dinger's 1926 wave functions in general requires complex numbers to be formulated. However, it soon turned out to even require some hypercomplex algebra. Incorporating Special Relativity leads to an equation (Dirac 1928) requiring pairwise anti-commuting coefficients, usually $4\times 4$ matrices. A unitary
Torsten Hertig +2 more
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Quantum Register Algebra: the mathematical language for quantum computing
Quantum Information Processing, 2023 11 ...
Jaroslav Hrdina +7 more
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World Journal of Neuroscience, 2013 The thesis of this paper is that Information, Cognition and a Principle of Existence are intrinsically structured in the quantum model of reality. We reach such evidence by using the Clifford algebra. We analyze quantization in some traditional cases of quantum mechanics and, in particular in quantum harmonic oscillator, orbital angular momentum ...
Elio Conte
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Book Review: Lie Algebras and Quantum Mechanics and Vector Bundles in Mathematical Physics [PDF]
Bulletin of the American Mathematical Society, 1973 Paul R. Chernoff, Jerrold E. Marsden
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The SHARK integral generation and digestion system
Journal of Computational Chemistry, Volume 44, Issue 3, Page 381-396, January 30, 2023., 2023 The BLAS level 3‐driven SHARK integral generation and digestion library is introduced and it is discussed how it leads to greatly simplified workflows and substantial computational speedups. Abstract In this paper, the SHARK integral generation and digestion engine is described.
Frank Neese
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Automated handling of complex chemical structures in Z‐matrix coordinates—The chemcoord library
Journal of Computational Chemistry, Volume 44, Issue 5, Page 710-726, February 15, 2023., 2023 We propose an algorithm for a chemically intuitive automatically generated Z‐matrix representation, including reliable back‐and‐forth transformation between coordinate spaces while properly handling linear dependencies. The usefulness of the method is showcased for molecule manipulation and initial guesses of reaction pathways.
Oskar Weser +2 more
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Classical dynamics from self-consistency equations in quantum mechanics [PDF]
Journal of Mathematics and Physics, 2020 During the last three decades, Pavel Bóna developed a non-linear generalization of quantum mechanics, which is based on symplectic structures for normal states.
J. Bru, W. de Siqueira Pedra
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Fortschritte der Physik, Volume 70, Issue 12, December 2022., 2022 Abstract We develop a general formalism to study the three‐point correlation functions of conserved higher‐spin supercurrent multiplets Jα(r)α̇(r)$J_{\alpha (r) \dot{\alpha }(r)}$ in 4D N=1${\cal N}=1$ superconformal theory. All the constraints imposed by N=1${\cal N}=1$ superconformal symmetry on the three‐point function ⟨Jα(r1)α̇(r1)Jβ(r2)β̇(r2)Jγ(r3)
Evgeny I. Buchbinder +2 more
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On the Cyclotomic Quantum Algebra of Time Perception [PDF]
, 2004 I develop the idea that time perception is the quantum counterpart to time measurement. Phase-locking and prime number theory were proposed as the unifying concepts for understanding the optimal synchronization of clocks and their 1/f frequency noise ...
M. Planat
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