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We investigate on some Appel-type orthogonal polynomial sequences on q-quadratic lattices and we provide some entire new characterizations of the Al-Salam Chihara polynomials (including the Rogers q-Hermite polynomials). The corresponding…

Classical Analysis and ODEs · Mathematics 2023-04-11 D. Mbouna , A. Suzuki

This is an invited short update of the topic covered by the review article, which aims to briefly survey progress made in theoretical and experimental studies of multidimensional solitons since the publication of the review. The Commentary…

Optics · Physics 2016-03-16 Boris A. Malomed , Dumitru Mihalache , Frank Wise , Lluis Torner

Reply to the Comment by S.V. Kravchenko, A.A. Shashkin, and V.T. Dolgopolov [cond-mat/0106056]

Strongly Correlated Electrons · Physics 2009-11-07 V. M. Pudalov , M. Gershenson , H. Kojima , N. Busch , E. M. Dizhur , G. Brunthaler , A. Prinz , G. Bauer

This note consists of two parts. The first part (\S 1 and \S 2) is a partial review of the works by van Meer and Stokman (2010), van Meer (2011) and Stokman (2014) which established a bispectral analogue of the Cherednik correspondence…

Quantum Algebra · Mathematics 2023-03-22 Kohei Yamaguchi , Shintarou Yanagida

We estabish rigorous estimates for the Hausdorff dimension of the spectra of Laplacians associated to Sierpi\'nski lattices and infinite Sierpi\'nski gaskets and other post-critically finite self-similar sets.

Dynamical Systems · Mathematics 2023-08-02 Mark Pollicott , Julia Slipantschuk

We comment on a recent paper [D. Schultz et al, Phys. REv. Lett. 90, 015501 (2003)]. We argue that a highly systematical investigation is needed to determine the most stable structures of both pristine and N-substituted fullerenes.

Materials Science · Physics 2007-05-23 Guangyu Sun , Rui-Hua Xie , Mark C. Nicklaus

Misprints corrected, two references added. To appear in the Phys. Rev. D.

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. Karkowski , K. Roszkowski , Z. Swierczynski , E. Malec

The convergence behavior of positive linear operators between certain locally convev vector lattices is reconsidered here.

Functional Analysis · Mathematics 2015-03-11 Heiner Gonska

Recent results on the one-parameter supersymmetric deformation in momentum space by Curtright and Zachos (2014 J. Phys. A: Math. and Theor. 47 145201; arXiv:1311.6147v2) are presented in a more general framework following our own papers. We…

Mathematical Physics · Physics 2015-04-16 Haret C. Rosu , Stefan C. Mancas , Pisin Chen

We report high magnetic field linear magnetostriction experiments on CeCoIn$_5$ single crystals. Two features are remarkable: (i) a sharp discontinuity in all the crystallographic axes associated with the upper superconducting critical…

Strongly Correlated Electrons · Physics 2015-06-25 V. F. Correa , T. P. Murphy , C. Martin , K. M. Purcell , E. C. Palm , G. M. Schmiedeshoff , J. C. Cooley , S. W. Tozer

Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and nonlinear collision integral. Over the past decade, the Fourier-Galerkin spectral method has become a popular…

Numerical Analysis · Mathematics 2020-07-13 Jingwei Hu , Kunlun Qi , Tong Yang

This is a Reply to a Comment by V.P. Torchigin and A.V. Torchigin, published in Physical Review A 92, 017803 (2015). The paper which is commented upon is titled "Deducing radiation pressure on a submerged mirror from the Doppler shift,"…

Optics · Physics 2015-08-04 Masud Mansuripur

We present various results on the properties of the four infinite sets of the exceptional $X_{\ell}$ polynomials discovered recently by Odake and Sasaki [{\it Phys. Lett. B} {\bf 679} (2009), 414-417; {\it Phys. Lett. B} {\bf 684} (2010),…

Mathematical Physics · Physics 2011-11-28 Choon-Lin Ho , Satoru Odake , Ryu Sasaki

A comment on a recent paper (PRL {\bf 94}, 226405 (2005)) by S. De Palo, M. Botti, S. Moroni, and Gaetano Senatore.

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We establish some qualitative properties of minimizers in the fractional Hardy--Sobolev inequalities of arbitrary order.

Analysis of PDEs · Mathematics 2020-09-25 Roberta Musina , Alexander I. Nazarov

A relationship between signed Eulerian polynomials and the classical Eulerian polynomials on $\mathfrak{S}_n$ was given by D\'{e}sarm\'{e}nien and Foata in 1992, and a refined version, called signed Euler-Mahonian identity, together with a…

Combinatorics · Mathematics 2020-07-28 Sen-Peng Eu , Zhicong Lin , Yuan-Hsun Lo

We make comments on Gaidarzhy {\it et al.}'s [{\it Phys. Rev. Lett.} 94, 030402 (2005)] letter.

Quantum Physics · Physics 2007-05-23 A. Kwang-Hua Chu

Comment on F. Wilhelm et al., Phys. Rev. Lett. 87, 207202 (2001)

Materials Science · Physics 2009-11-10 R. Tyer , G. van der Laan , W. M. Temmerman , Z. Szotek

A Comment on the Letter by O. Viehmann, J. von Delft, and F. Marquardt [Phys. Rev. Lett. {\bf 107}, 113602 (2011)].

Quantum Physics · Physics 2012-10-29 Cristiano Ciuti , Pierre Nataf

This is a small comment concerning the work by Smolyaninov et al. in Phys. Rev. Lett.94, 057401 (2005).

Optics · Physics 2015-05-18 A. Drezet , H. Hohenau , J. R. Krenn
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