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The behaviour of the second-order density matrix at the coulomb singularities of the Schrödinger equation

✍ Scribed by W. A. Bingel


Book ID
104791131
Publisher
Springer
Year
1966
Tongue
English
Weight
256 KB
Volume
5
Category
Article
ISSN
1432-2234

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New singular solutions of the nonlinear
✍ Gadi Fibich; Nir Gavish; Xiao-Ping Wang 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 1004 KB

We present numerical simulations of a new type of singular solutions of the critical nonlinear Schrödinger equation (NLS), that collapse with a quasi self-similar ring profile at a square root blowup rate. We find and analyze the equation of the ring profile. We observe that the self-similar ring pr