On the pointwise convergence of the integral kernels in the Feynman-Trotter formula [PDF]
We study path integrals in the Trotter-type form for the Schr\"odinger equation, where the Hamiltonian is the Weyl quantization of a real-valued quadratic form perturbed by a potential $V$ in a class encompassing that - considered by Albeverio and It\^o ...
Nicola, Fabio, Trapasso, S. Ivan
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Alternative sets of hyperspherical harmonics: Satisfying cusp conditions through frame transformations [PDF]
By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics.
Dmitry Green +2 more
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A non-linear Oscillator with quasi-Harmonic behaviour: two- and $n$-dimensional Oscillators
A nonlinear two-dimensional system is studied by making use of both the Lagrangian and the Hamiltonian formalisms. The present model is obtained as a two-dimensional version of a one-dimensional oscillator previously studied at the classical and also at ...
Ballesteros A +33 more
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The effective action of Type IIA Calabi-Yau orientifolds [PDF]
The N=1 effective action for generic type IIA Calabi-Yau orientifolds in the presence of background fluxes is computed from a Kaluza-Klein reduction. The Kahler potential, the gauge kinetic functions and the flux-induced superpotential are determined in ...
Acharya +112 more
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Metric duality between positive definite kernels and boundary processes
We study representations of positive definite kernels $K$ in a general setting, but with view to applications to harmonic analysis, to metric geometry, and to realizations of certain stochastic processes.
Jorgensen, Palle, Tian, Feng
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Geometric renormalization of large energy wave maps [PDF]
There has been much progress in recent years in understanding the existence problem for wave maps with small critical Sobolev norm (in particular for two-dimensional wave maps with small energy); a key aspect in that theory has been a renormalization ...
Tao, Terence
core +4 more sources
Metrics Admitting Killing Spinors In Five Dimensions [PDF]
BPS black hole configurations which break half of supersymmetry in the theory of N=2, d=5 supergravity coupled to an arbitrary number of abelian vector multiplets are discussed.
Chamseddine, A. H., Sabra, W. A.
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Hamiltonian light-front field theory within an AdS/QCD basis
Non-perturbative Hamiltonian light-front quantum field theory presents opportunities and challenges that bridge particle physics and nuclear physics. Fundamental theories, such as Quantum Chromodynmamics (QCD) and Quantum Electrodynamics (QED) offer the ...
A. Harindranath +29 more
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A control theorem for $p$-adic automorphic forms and Teitelbaum's $\mathcal{L}$-invariant
In this article, we describe an efficient method for computing Teitelbaum's $p$-adic $\mathcal{L}$-invariant. These invariants are realized as the eigenvalues of the $\mathcal{L}$-operator acting on a space of harmonic cocycles on the Bruhat-Tits tree ...
Dushantha Kandambi, Dulan Ranga Vidanapathirana H. K. +3 more
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A range description for the planar circular Radon transform [PDF]
The transform considered in the paper integrates a function supported in the unit disk on the plane over all circles centered at the boundary of this disk.
Ambartsoumian, Gaik, Kuchment, Peter
core +3 more sources

