[PDF] Top 20 sigma08-046. 190KB Jun 04 2011 12:10:16 AM

... The idea of introducing the second time derivative of the wave function into the usual Schr¨ odinger equation as a correction term is not completely new and has been already discussed in the literature. The similar ... Lihat dokumen lengkap

... In a nonlinear formulation of time-independent quantum mechanics proposed by Reinisch [2], the amplitude of the wave function fulfils a real nonlinear space-dependent Ermakov equation, t[r] ... Lihat dokumen lengkap

... The integral formulae are derived for the highest to highest matrix elements for certain intertwining operators by using free field realizations.. The integrals with respect to u variabl[r] ... Lihat dokumen lengkap

... are used as a relativistic constituent quark models [16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26]. Some models are universal [27, 28], i.e., describe several states of heavy as well as light mesons. The solution of ... Lihat dokumen lengkap

... Concerning the generalization of the symplectic form, there are, in fact, many instances of field theories with pre-symplectic test function spaces. In the formulation of quantum electro- dynamics (QED) for ... Lihat dokumen lengkap

... Concluding the brief description of relativistically invariant Finslerian space-time (1), we can- not but mention the valuable result obtained recently in the field by G.W. Gibbons, J. Gomis and C.N. Pope. We mean the ... Lihat dokumen lengkap

... In mathematics, a non-Kowalewskian-type evolution equation is said to be “dispersive” if its initial value problem is (expected to be) well-posed in both directions of the past and the future. See [10, Lecture ... Lihat dokumen lengkap

... The Yang–Baxter equation first came up in the paper by Yang as factorization condition of the scattering S-matrix in the many-body problem in one dimension and in the work by Baxter on exactly solvable models in ... Lihat dokumen lengkap

... The local PBs of hydrodynamic type were introduced by Dubrovin, Novikov [3, 4] for Hamil- tonian description of equations of hydrodynamics. They were generalized by Ferapontov [5] and Mokhov, Ferapontov [6] to the ... Lihat dokumen lengkap

... to an accelerated cosmological expansion. Dark energy was proposed to explain the accelerated expansion observed in studies of distant type Ia supernova [6, 7]. There are various proposals as to the nature of dark ... Lihat dokumen lengkap

... Key words: global attractors; solitary waves; solitary asymptotics; nonlinear Klein–Gordon equation; dispersive Hamiltonian systems; unitary invariance 2000 Mathematics Subject Classifi[r] ... Lihat dokumen lengkap

... The discrete Gaussian free field is represented as a Gibbs random field with massless interaction potentials and is interpreted as a probabilistic model of phase separating random interfaces. Because of its long range ... Lihat dokumen lengkap

... It was about six years ago that I (B.Z.) met for the first time Vadim Kuznetsov during one of the ‘Geometric Mechanics’ conferences in Warwick University, U.K. I cannot say that we have found immediately mutual interest ... Lihat dokumen lengkap

... The remaining point at issue is therefore the explicit form of the excited-state wavefunctions for those potentials of [15] that do not belong to this class. It is the purpose of the present paper to answer such a ... Lihat dokumen lengkap

... Given a contingent claim whose maturity price may depend on S(t) and thus on the behaviour of the large investor, the problem for him is to find the set V (t) of initial values (s, t) such that he is able to hedge or ... Lihat dokumen lengkap

... 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

... Using (16) and (17) it follows from Theorem 2 of [13] that strong solutions are globally defined, i.e. we can choose T = ∞ . Finally, using (14) and (16) again one shows via Corollary 2 to Theorem 14 of ... Lihat dokumen lengkap

... Thus all functions depend on only two canonically conjugate variables Q , P and the parameter E. This shows the existence and the form of two variable models of conjugate variables. However the proof is not constructive ... Lihat dokumen lengkap

... Poisson manifolds are smooth manifolds with a Poisson bracket on their ring of functions (see [118] and Section 1.1). Since their introduction by Lichnerowicz in 1977 [88], Poisson geometry and the cohomology of Poisson ... Lihat dokumen lengkap

... [11, 12, 13], Nasiri [9] has shown that in the Wigner representation of phase space quantum mechanics [14] the quantum potential is removed from the dynamical equation of a particle in linear and harmonic ... Lihat dokumen lengkap