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19932026
most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

Showing 2010 · math-phShow all

5 papers · 2 filters

math-ph2010★ 1 cited

Absence of ground state for the Nelson model on static space-times

Christian Gérard, Fumio Hiroshima, Annalisa Panati +1

We consider the Nelson model on some static space-times and investigate the problem of absence of a ground state. Nelson models with variable coefficients arise when one replaces i…

math-ph2010★ 15 cited

A new family of shape invariantly deformed Darboux-Pöschl-Teller potentials with continuous \ell

Satoru Odake, Ryu Sasaki

We present a new family of shape invariant potentials which could be called a ``continuous \ell version" of the potentials corresponding to the exceptional (X_{\ell}) J1 Jacobi pol…

math-ph2010★ 18 cited

Infrared problem for the Nelson model on static space-times

Christian Gérard, Fumio Hiroshima, Annalisa Panati +1

We consider the Nelson model with variable coefficients and investigate the problem of existence of a ground state and the removal of the ultraviolet cutoff. Nelson models with var…

math-ph2010★ 33 cited

Exceptional Askey-Wilson type polynomials through Darboux-Crum transformations

Satoru Odake, Ryu Sasaki

An alternative derivation is presented of the infinitely many exceptional Wilson and Askey-Wilson polynomials, which were introduced by the present authors in 2009. Darboux-Crum tr…

math-ph2010★ 48 cited

Modification of Crum's Theorem for `Discrete' Quantum Mechanics

Leonor Garcia-Gutierrez, Satoru Odake, Ryu Sasaki

Crum's theorem in one-dimensional quantum mechanics asserts the existence of an associated Hamiltonian system for any given Hamiltonian with the complete set of eigenvalues and eig…