Journal of Mathematical Physics

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Research Highlights

Fermionic and bosonic Laughlin state on thick cylinders

Sabine Jansen

Partial Abstract: We investigate a many-body wave function for particles on a cylinder known as Laughlin's function. It is the power of a Vandermonde determinant times a Gaussian. Our main result is: in a many-particle limit, at fixed radius, all correlation functions have a unique limit, and the limit state has a non-trivial period in the axial direction.

J. Math. Phys. 53, 123306 (2012)

Extended states for polyharmonic operators with quasi-periodic potentials in dimension two

Yulia Karpeshina and Roman Shterenberg

This paper proves that the absolutely continuous spectrum of H contains a semiaxis and there is a family of generalized eigenfunctions at every point of this semiaxis with specific properties. These properties demonstrate that the eigenfunctions are close to plane waves eⁱ^{‹k, x›} at the high energy region and the isoenergetic curves in the space of momenta k corresponding to these eigenfunctions have a form of slightly distorted holes.

J. Math. Phys. 53, 103512 (2012)

Reconstructing acoustic obstacles by planar and cylindrical waves

Jingzhi Li, Hongyu Liu, Hongpeng Sun, and Jun Zou

A linear sampling-type method is developed for the inverse obstacle scattering problem using near-fields through the DtN or NtD maps with planar or cylindrical incident waves. This method is primarily for qualitative reconstructions and has been mathematically justified. Numerical experiments are presented to demonstrate the effectiveness of the method and show that some fine aspects of the underlying obstacles may be captured.

J. Math. Phys. 53, 103705 (2012)

Geometric descriptions of entangled states by auxiliary varieties

Frédéric Holweck, Jean-Gabriel Luque, and Jean-Yves Thibon

An alternative approach to the geometric descriptions of entanglement is presented. Auxiliary varieties such as join, tangent, and secant are used instead of a description by dual varieties. The introduction of these varieties brought a more precise description of the singular locus of the dual varieties as the authors were able to interpret the singular components of X^*as dual varieties of the stratification by join and tangential varieties. This approach could bring interesting perspectives for the geometric description of entanglement in QIT.

J. Math. Phys. 53, 102203 (2012)

Third order integrability conditions for homogeneous potentials of degree −1

Thierry Combot and Christoph Koutschan

The non-integrability proofs of meromorphic homogeneous potentials of degree −1 in the plane is discussed and in particular for nongeneric cases. The general holonomic approach presented could work for all problems about integrability of homogeneous potentials since it allows for the computation of various higher integrability conditions of fixed order.

J. Math. Phys. 53, 082704 (2012)

On the joint distribution of the maximum and its position of the Airy₂ process minus a parabola

Jinho Baik, Karl Liechty, and Grégory Schehr

The scaling limit of the end-point of the directed polymer in a random medium is described by the maximal point of the Airy₂ process minus a parabola and has been proven for a few cases. Two different formulas for the joint distribution of the location and height of this maximal point were obtained and this article gives a direct proof that these two formulas are the same.

J. Math. Phys. 53, 083303 (2012)

More Research Highlights

Announcements

Elliott Lieb elected as a Foreign Member of the Royal Society
The Journal of Mathematical Physics would like to congratulate Professor Elliott Lieb on being elected as a Foreign Member of the Royal Society. JMP recently published a special issue dedicated to Prof. Lieb in honor of his 80th birthday.

2013 Dannie Heineman Prize for Mathematical Physics
The Journal of Mathematical Physics would like to congratulate Michio Jimbo of Rikkyo University and Tetsuji Miwa of Kyoto University on being this year's recipients of the Dannie Heineman Prize for Mathematical Physics.

The Journal of Mathematical Physics welcomes a new Associate Editor, Jan Philip Solovej
JPS The Journal of Mathematical Physics is pleased to announce that Jan Philip Solovej has taken up duties as a new Associate Editor on January 1, 2013. He is a professor at the Institute for Mathematical Sciences at the University of Copenhagen and also serves as the chairman of the Danish Research Council for Natural Science. His research interests include many-body quantum mechanics and spectral theory. Prof. Solovej joins an already remarkable team of Associate Editors and his expertise will benefit the authors and readers of JMP.

The Journal of Mathematical Physics introduces two new sections: Many-Body and Condensed Matter Physics and Representation Theory and Algebraic Methods.

JMP at QIP 2013

QIP2013 The Journal of Mathematical Physics will be represented at the 16th Workshop on Quantum Information Processing in Tsinghua University, 21-25 January 2013. Please stop by the AIP Publishing booth to learn more about JMP and pick up a USB drive loaded with notable publications in Quantum Information and Computation that are now freely available.

CrossMark Implemented on AIP journals

AIP Publishing is dedicated to scientific accuracy and integrity and as a result has implemented CrossMark on its publications. As of December 2012, a CrossMark logo will appear on an HTML page or PDF file indicating that the publisher is maintaining the published document through any updates, corrections, enhancements, retractions, and other such changes. Clicking the CrossMark logo reveals status information about the document and tells readers whether they are accessing the most recent and reliable version or not. A link to any updated version will be included. You can learn more about CrossMark from the CrossRef website.

The 2012 Nobel Prize in Physics

Nobel Medal for Physics and Chemistry The American Institute of Physics congratulates this year's Nobel Laureates in Physics, Serge Haroche and David J. Wineland “for ground-breaking experimental methods that enable measuring and manipulation of individual quantum systems."

Congratulations to Tobias Ried!
The Journal of Mathematical Physics would like to congratulate Tobias Ried, winner of the iPad ^® drawing at the recent ICMP12 conference held in Aalborg, Denmark. Tobias obtained his Bachelors in Science in physics at the Technical University (TU) in Munich, Germany. Currently, he is enrolled in the Masters in Science course "Theoretical and mathematical physics" at Ludwig-Maximilians-Universität (LMU) and TU in Munich, funded by the Elite Network of Bavaria. His research interest is mathematical quantum mechanics in particular random Schrödinger operators, and by next year will be working on his thesis advised by Dr. Simone Warzel. After achieving his Master’s degree, Tobias plans to pursue his Ph.D.
The Journal of Mathematical Physics welcomes a new Associate Editor, Yasuyuki Kawahigashi
The Editor is happy to announce that Prof. Yasuyuki Kawahigashi will take up duties as a new Associate Editor on September 1, 2012. He is a Professor in the department of Mathematical Sciences at The University of Tokyo in Japan. Prof. Kawahigashi studies the theory of operator algebras and during his editorship will focus on representation theory and algebraic methods of mathematical physics. Prof. Kawahigashi joins a very impressive team of Associate Editors and his expertise will complement their backgrounds in order to further benefit the authors and readers of JMP.
International Congress on Mathematical Physics (ICMP12)
Journal of Mathematical Physics will be represented by AIP Publishing at the International Congress on Mathematical Physics, 6-11 August 2012, in Aalborg, Denmark. Please stop by the AIP Publishing table #18 to enter your chance to win an iPad^®.