**The time-dependent Schroedinger equation, Riccati …**
https://arxiv.org/abs/0903.3608

Mar 20, 2009 · Abstract: We construct the Green functions (or Feynman's propagators) for the Schroedinger equations of the form $i\psi_{t}+{1/4}\psi_{xx}\pm tx^{2}\psi =0$ in terms of Airy functions and solve the Cauchy initial value problem in the coordinate and momentum representations. Particular solutions of the corresponding nonlinear Schroedinger equations … Author: Nathan Lanfear, Sergei K. Suslov Authors: Lanfear, Nathan, Suslov, Sergei K. Publish Year: 2009 Cite As: arXiv:0903.3608 [math-ph]

**Author:** Nathan Lanfear, Sergei K. Suslov

**Authors:** Lanfear, Nathan, Suslov, Sergei K.

**Publish Year:** 2009

**Cite As:** arXiv:0903.3608 [math-ph]

**DA:** 58 **PA:** 97 **MOZ Rank:** 73