[PDF] Top 20 sigma11-046. 348KB Jun 04 2011 12:10:52 AM

... Recently, for many discrete systems which are integrable in the sense of multi-dimensional consistency [1, 2], their explicit soliton solutions were derived via constructive approaches [3, 4, 5, 6, 7, 8, 9] such as the ... Lihat dokumen lengkap

... By using this property it is possible to define a Fourier transform on the entire Hilbert space of the harmonic oscillator, which is its own inverse and satisfies the Parseval theorem.. [r] ... Lihat dokumen lengkap

... The main purpose of this paper is to provide a few new results obtained from the application of functional conjugation methods – Schr¨ oder theory [17] – to problems in dynamics. Specifically, the interdisciplinary ... Lihat dokumen lengkap

... It has been well established that the Painlev´e equations admit Lax representations. The underlying theory behind these Lax representations is the theory of isomonodromy [12, 10, 11]. The first evidence ... Lihat dokumen lengkap

... oscillator or the Kepler–Coulomb (KC) Hamiltonian. It is well known that these three systems are maximally superintegrable (MS), that is, they are endowed with the maximum number of 2N − 1 functionally independent ... Lihat dokumen lengkap

... A general theory of special q-difference equations, with particular interest in basic hypergeomet- ric series, may be found in the book by Gasper and Rahman [10]. The work of Sauloy and Ramis provide some insight ... Lihat dokumen lengkap

... A particular case of the previous results which deserves special attention is obtained in the limit a → 0. It is well known that the family of rectangular wells of unit area converges to the delta well in the sense of ... Lihat dokumen lengkap

... and its Legendre transform has the form (6.8) with ¯ p, ¯ z replaced by ˜ p, ˜ z respectively. Its algebraic solution is obtained from our real solution by the same replacements in formulas (6.2) with u and v considered ... Lihat dokumen lengkap

... In this paper we consider two a priorivery different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and compu-tation of the parti[r] ... Lihat dokumen lengkap

... We would like to thank T. Deguchi, R. Inoue, H. Konno, Y. Takeyama and R. Weston for discussion and their interests in the present work. We would also like to thank S. Lukyanov for useful information. This paper is ... Lihat dokumen lengkap

... Already from 1861 ´ E. Mathieu, a notable French mathematical physicist (Mathieu equation, Mathieu functions, etc.) found five finite simple groups not in the above families; by definition, these groups will be called ... Lihat dokumen lengkap

... Given that the construction of the Fedosov differential D from [7] is a priori different from that of [10], one would like to know whether the Fedosov differential D from [7] can also be obtained via the ... Lihat dokumen lengkap

... In the same direction, the growth of research in theoretical physics and quantum optics has revealed the importance of the coherent states and hence the entanglement of the bosonic, su(2) and su(1,1) coherent states has ... Lihat dokumen lengkap

... Thus, starting from the free action of the (4, 4, 0) multiplet and gauging a symmetry of this action, we have eventually arrived at the free action of the multiplet (3, 4, 1)! As distinct from the previous example, in ... Lihat dokumen lengkap

... This metric should be thought of as an averaged metric in an inhomogeneous cosmology and so it does not even have to satisfy the Einstein field equations [11], although we prefer to keep this constraint for philosophical ... Lihat dokumen lengkap

... Apart from the first order dilaton coupling, the resultant theory is the same as the one studied by Horava. After adding the second order kinetic term, the dispersion relation of the (traceless tensor) graviton around ... Lihat dokumen lengkap

... Now we can consider the scaling limit and generalize the analysis of Section 10 of [4]. Let us start with a small remark. So far, we considered only particles which “jump” to the left. In principle, for the case ... Lihat dokumen lengkap

... The aim of our present investigation is to describe a classC+ =C+H C− = C−H of linear bounded operators in a Hilbert space H, which have three-diagonal complex symmetric respectively ske[r] ... Lihat dokumen lengkap

... arising at the resonances. Omitting tedious computational details of this, we give here only the result. The compatibility conditions turn out to be satisfied identically at the resonances of all branches (13)–(16), ... Lihat dokumen lengkap

... a time discretization of a one parameter family of continuous flows having the same integrals of motion (1.3), (2.7) as the continuous dynamical system ruled by the physical Hamiltonian (2.8). With the above constraints ... Lihat dokumen lengkap