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Related papers: Highly optimized fourth-order short-time approxima…

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This paper has been withdrawn, as it has been merged into arXiv:1009.6144

Combinatorics · Mathematics 2012-05-22 Bela Bollobas , Alexander Scott

This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.

Dynamical Systems · Mathematics 2007-05-23 Maria A. Avino-Diaz , Gabriela Bulancea

This paper deals with the recoverable robust shortest path problem under the interval uncertainty representation. The problem is known to be strongly NP-hard and not approximable in general digraphs. Polynomial time algorithms for the…

Data Structures and Algorithms · Computer Science 2023-09-07 Marcel Jackiewicz , Adam Kasperski , Pawel Zielinski

This paper has been withdrawn by the author(s), due an error in the proof.

Combinatorics · Mathematics 2011-11-10 Lin Hu , Hao Li , Xueliang Li

This paper ("Two-Level Chromophore and Irreversibility", which can be found at arXiv:0804.0086) has been withdrawn by the author due to too many errors and misleading statements. This paper has been superseded by Section 2.11 and Chapter 7…

Chemical Physics · Physics 2009-12-16 Erich N. Wolf

This paper has been withdrawn by the author due to some mistakes

Quantum Physics · Physics 2011-02-16 Phongpichit Channuie

This paper has been withdrawn to allow publication elsewhere.

Instrumentation and Methods for Astrophysics · Physics 2015-04-21 T. D. Carozzi , G. Woan

This paper was withdrawn by the authors.

High Energy Physics - Theory · Physics 2007-05-23 Subir Ghosh

Efficient fourth order symplectic integrators are proposed for numerical integration of separable Hamiltonian systems H(p,q)=T(p)+V(q). Symmetric splitting coefficients with five to nine stages are obtained by higher order decomposition of…

Quantum Physics · Physics 2015-02-10 Kristian Mads Egeris Nielsen

Withdrawn; replaced by longer, more detailed paper quant-ph/0010065.

Quantum Physics · Physics 2007-05-23 Michael Stay

This paper has been withdrawn by the authors and replaced by the revised version in arXiv:0709.1772.

High Energy Physics - Phenomenology · Physics 2009-10-27 Kyung-il Kim , Youngman Kim , Su Houng Lee

In this article, I provide significant mathematical evidence in support of the existence of short-time approximations of any polynomial order for the computation of density matrices of physical systems described by arbitrarily smooth and…

Mathematical Physics · Physics 2009-11-10 Cristian Predescu

This paper has been withdrawn since we combine this paper with math.AC/0503685. All contents of the paper have been moved to math.AC/0503685.

Commutative Algebra · Mathematics 2008-02-12 Satoshi Murai , Takayuki Hibi

The paper has been withdrawn due to an error in Lemma 1.

Data Structures and Algorithms · Computer Science 2007-05-23 Sumit Ganguly

This paper has been withdrawn by the authors since it was strongly elaborated, some new sections appeared. This made the paper significantly differ from current version. Besides two new authors participated in the work. So the authors…

High Energy Physics - Phenomenology · Physics 2012-06-20 A. I. Ahmadov , E. A. Kuraev , C. Burdik

This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)

Information Theory · Computer Science 2016-08-14 Øyvind Ryan , Merouane Debbah

This paper has been withdrawn temporarily.

Quantum Physics · Physics 2007-05-23 S. Ghosh , G. Kar , A. Roy

This paper has been withdrawn, since it contains a corollary with impossible consequences and the source of an error is currently unknown.

Functional Analysis · Mathematics 2008-05-28 Fernando Rambla , Jarno Talponen

An efficient computational algorithm to price financial derivatives is presented. It is based on a path integral formulation of the pricing problem. It is shown how the path integral approach can be worked out in order to obtain fast and…

Statistical Mechanics · Physics 2009-11-07 G. Montagna , O. Nicrosini , N. Moreni