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On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...
Topological invariants from non-restricted quantum groups
Topological invariants non-restricted quantum groups
2010/12/9
We introduce the notion of a relative spherical category. We prove that such a category
gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants de ned in [12] and [17], respe...
Complementarity in categorical quantum mechanics
Complementarity categorical quantum mechanics
2010/12/15
We relate notions of complementarity in three layers of quantum mechanics:(i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices.
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
Quantum One-Way Communication Classical Communication
2010/12/15
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error)
protocol requires po...
Nontrivial realization of the space-time translations in the theory of quantum fields
Nontrivial realization of the space-time translations theory of quantum fields
2010/12/15
In standard quantum field theory, the one–particle states are classified by unitary epresentations of the Poincar´e group, whereas the causal fields’ classification employs the finite dimensiona...
Information theory of quantum systems with some hydrogenic applications
information theory quantummechanics Fisher information Shannon entropy
2010/12/15
The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed.
Quantum W-symmetry in AdS_3
Quantum W-symmetry AdS_3
2010/12/16
It has recently been argued that, classically, massless higher spin theories in AdS3 have an enlarged WN-symmetry as the algebra of asymptotic isometries.In this note we provide evidence that this sym...
A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
Ruelle-Lanford functions for quantum spin systems
Ruelle-Lanford functions r quantum spin systems
2010/12/10
We prove a large deviation principle for the expectation of macroscopic observables in quantum (and classical) Gibbs states. Our proof is based on Ruelle-Lanford functions [20, 34] and direct subaddit...
Tripartite connection condition for quantum graph vertex
Schrodinger operator singular vertex boundary conditions
2010/12/16
We discuss formulations of boundary conditions in a quantum graph vertex and demonstrate that the so-called S Tform can be further reduced up to a form more effective in certain pplications: In partic...
Covariant Quantum Fields on Noncommutative Spacetimes
Covariant Quantum Fields Noncommutative Spacetimes
2010/12/16
A spinless covariant field ϕ on Minkowski spacetime Md+1 obeys the relation U(a,)ϕ(x)U(a,)−1 =ϕ(x + a) where (a,) is an element of the Poincar´e group P↑ + and U : (a,)...
Equations of motion in General Relativity and Quantum Mechanics
non-geodesic motion Dirac equation equations of motion Maxwell-Boltzmann distribution
2010/12/16
In a previous article a relationship was established between the linearized metrics of General Relativity associated with geodesics and the Dirac Equation of quantum mechanics.
Weight function for the quantum affine algebra $U_q(A_2^{(2)})$
Weight function quantum affine algebra $U_q(A_2^{(2)})$
2010/12/3
In this article, we give an explicit formula for the universal weight function of the quantum
twisted affine algebra Uq(A(2)2 ). The calculations use the technique of projecting products of
Drinfeld...
Two-parameter families of quantum symmetry groups
Quantum symmetry groups quantum isometry groups liberation
2010/12/13
We introduce and study natural two-parameter families of quan-tum groups motivated on one hand by the liberations of classical orthogonal groups and on the other by quantum isometry groups of the dual...
Physical considerations strongly indicate that spacetime at Planck scales is noncommutative. A popular model for such a spacetime is the Moyal plane. The Poincare group algebra acts on it with a Drin...