Results 61 to 70 of about 96,588 (331)
Quantum Riemannian geometry of phase space and nonassociativity
Demonstratio Mathematica, 2017 Noncommutative or ‘quantum’ differential geometry has emerged in recent years as a process for quantizing not only a classical space into a noncommutative algebra (as familiar in quantum mechanics) but also differential forms, bundles and Riemannian ...
Beggs Edwin J., Majid Shahn
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Geometry of Quantum Principal Bundles I
, 1995 A theory of principal bundles possessing quantum structure groups and classical base manifolds is presented. Structural analysis of such quantum principal bundles is performed.
M. Daniel +8 more
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Advances in Differential Equations, 2019 In this investigation, by applying the definition of the fractional q-derivative of the Caputo type and the fractional q-integral of the Riemann–Liouville type, we study the existence and uniqueness of solutions for a multi-term nonlinear fractional q ...
S. Ntouyas, M. Samei
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Applied Mechanics, 2022 The ‘diffraction in space’ and the ‘diffraction in time’ phenomena are considered in regard to a continuously open, and a closed shutter that is opened at an instant in time, respectively.
J. Blackledge
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Quantum Principal bundle and Non Commutative differential calculus
Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021), 2022 We give a sheaf theoretic approach to the notion of quantum principal bundle over projective bases and its first order differential ...
Aschieri P. +3 more
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Invariance quantum groups of the deformed oscillator algebra
, 1996 A differential calculus is set up on a deformation of the oscillator algebra. It is uniquely determined by the requirement of invariance under a seven-dimensional quantum group. The quantum space and its associated differential calculus are also shown to
Bernard D +10 more
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A new concept of q-calculus with respect to another function
Journal of Innovative Applied Mathematics and Computational SciencesIn this paper, we present an approach to quantum calculus and its applications through a functional method. This approach enables the exploration of the number-theoretic properties of q-calculus in a functional framework, facilitating the modification ...
Shrinath Manjarekar, Hossein Jafari
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Call-by-value, call-by-name and the vectorial behaviour of the algebraic \lambda-calculus [PDF]
Logical Methods in Computer Science, 2014 We examine the relationship between the algebraic lambda-calculus, a fragment of the differential lambda-calculus and the linear-algebraic lambda-calculus, a candidate lambda-calculus for quantum computation.
Ali Assaf +4 more
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Quantum Maps with Memory from Generalized Lindblad Equation
Entropy, 2021 In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation
Vasily E. Tarasov
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The Bessel equation on the quantum calculus
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2022 A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions. This paper introduces a h-difference
S. Shaimardan +2 more
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