𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotics of the Solutions of the Random Schrödinger Equation

✍ Scribed by Guillaume Bal; Tomasz Komorowski; Lenya Ryzhik

Publisher
Springer
Year
2011
Tongue
English
Weight
508 KB
Volume
200
Category
Article
ISSN
0003-9527

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The recursive solution of the Schrödinge
The recursive solution of the Schrödinger equation
✍ Roger Haydock 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 644 KB

A new approach to the computational solution of the Schfbdinger equation is based on the partial transformation of the Hamiltonian to a tridiagonal matrix. The method is especially suited to tight-binding Hamiltonians encountered in solid state physics and permits of the order of iodegrees of freedo

Exponentially small asymptotics of solut
Exponentially small asymptotics of solutions to the defocusing nonlinear Schrödinger equation
✍ A.H. Vartanian 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 492 KB

The matrix Riemann-Hilbert factorization approach is used to derive the leading-order, exponentially small asymptotics as t --\* +oo such that x/t ~ O(1) of solutions to the Cauchy problem for the defocusing nonlinear Schr6dinger equation, iOtu + 02xu -2([ul 2 -1)u = 0, with finite density initial d

Sharp Lr asymptotics of the small soluti
Sharp Lr asymptotics of the small solutions to the nonlinear Schrödinger equations
✍ Naoyasu Kita 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 152 KB

This paper studies the large time behavior of the small solution to the nonlinear Schr odinger equation with power type nonlinearity. If the power is large enough, then it is well known that the nonlinear solution asymptotically behaves like a linear solution as t → ± ∞ (see e.g.