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91.
After introducing briefly the basic concept of statistical interaction, we illustrate it on integrable XXZ chain corresponding Potts case by the Bethe ansatz and point out that the nontrivial part of this statistical interaction comes from the rates of change of phase shifts with respect to momentum. 相似文献
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Analytical solutions for some nonlinear evolution equations 总被引:1,自引:0,他引:1
IntroductionItiswell_knownthatmanyimportantdynamicsprocessescanbedescribedbyspecificnonlinearpartialdifferentialequations .Whenanonlinearpartialdifferentialequationisusedtodescribeaphysicalparameterthatshowssomekindsofpropagationoraggregationproperties,oneofthemostimportantphysicalmotivationsistosolvethepartialdifferentialequationwithacertaintypeoftravellingwavesolution .Inthepastseveraldecades,therehavebeenmanyattemptsinthisfieldbothbymathematiciansandphysicists[1]- [16 ],however,duetothecomp… 相似文献
95.
The exact solution of a new type of Bariev Hamiltonian constructed with particles which obeys generalized exchange statistics in one dimension is studied in the framework of coordinate Bethe ansatz method.The energy spectrum and the related Bethe ansatz equations are obtained. 相似文献
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We present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly by means of the functional Bethe ansatz method. For each case, we give closed-form solutions for the energies and the wave functions as well as analytical expressions for the allowed potential parameters in terms of the roots of a set of algebraic equations. 相似文献
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The Schrodinger equation with hyperbolic potential V ( x )=- Vosinh 2q ( x / d) / cosh 6 ( x / d) (q= 0, 1, 2, 3) is studied by transforming it into the confluent Heun equation. We obtain genera/symmetric and antisymmetric polynomial solutions of the SchrSdinger equation in a unified form via the Functional Bethe ansatz method. Furthermore, we discuss the characteristic of wavefunction of bound state with varying potential strengths. Particularly, the number of wavefunction's nodes decreases with the increase of potentiaJ strengths, and the particle tends to the bottom of the potential well correspondingly. 相似文献
100.