Results 31 to 40 of about 230,209 (162)
Quantum Theory and Galois Fields [PDF]
We discuss the motivation and main results of a quantum theory over a Galois field (GFQT). The goal of the paper is to describe main ideas of GFQT in a simplest possible way and to give clear and simple arguments that GFQT is a more natural quantum ...
Berestetsky V. B.+10 more
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Minimal models of quantum homotopy Lie algebras via the BV-formalism [PDF]
Using the BV-formalism of mathematical physics an explicit construction for the minimal model of a quantum L-infinity-algebra is given as a formal super integral.
Christopher Braun, J. Maunder
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Equivalence of the Klein-Gordon random field and the complex Klein-Gordon quantum field
The difference between a Klein-Gordon random field and the complex Klein-Gordon quantum field is characterized, explicitly comparing the roles played by negative frequency modes of test functions in creation and annihilation operator presentations of the
Morgan, Peter
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Lectures on the Mathematics of Quantum Mechanics I
Elements of the history of Quantum Mechanics I.- Elements of the history of Quantum Mechanics II.- Axioms, states, observables, measurement, difficulties.- Entanglement, decoherence, Bell's inequalities, alternative theories.- Automorphisms Quantum ...
G. Dell'Antonio
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Quantum Holonomies from Spectral Networks and Framed BPS States [PDF]
We propose a method for determining the spins of BPS states supported on line defects in 4d $${\mathcal{N}=2}$$N=2 theories of class S. Via the 2d–4d correspondence, this translates to the construction of quantum holonomies on a punctured Riemann surface
Maxime Gabella
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Fixed rings of quantum generalized Weyl algebras [PDF]
Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms.
Jason Gaddis, P. Ho
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The Eight Dimensional Quantum Hall Effect and the Octonions
We construct a generalization of the quantum Hall effect where particles move in an eight dimensional space under an SO(8) gauge field. The underlying mathematics of this particle liquid is that of the last normed division algebra, the octonions.
B. Grossman+5 more
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The center of small quantum groups II: singular blocks [PDF]
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum groups, Contemporary Mathematics 433 (American Mathematical Society, Providence, RI, 2007) 89–101] that describes the center of the principal block of a small
A. Lachowska, You Qi
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Hochschild cohomology of group extensions of quantum symmetric algebras [PDF]
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this
Communicated Martin Lorenz+3 more
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Contractions, deformations and curvature
The role of curvature in relation with Lie algebra contractions of the pseudo-ortogonal algebras so(p,q) is fully described by considering some associated symmetrical homogeneous spaces of constant curvature within a Cayley-Klein framework.
A. Ballesteros+44 more
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