We study the semiclassical limit of the so-called general modified nonlinear Schrodinger equation for initial data with Sobolev regularity, before shocks appear ïn the limit system. The strict hyperbolicity and genuine nonlinearity are proved for the dispersion limit of the cubic nonlinear case. The
Semiclassical Limit of the Dirac Equation and Spin Precession
✍ Scribed by Herbert Spohn
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 126 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
We study the Dirac equation with slowly varying external potentials. Using matrix-valued Wigner functions we prove that the electron follows with high precision the classical orbit and that the spin precesses according to the BMT equation with gyromagnetic ratio g=2. 2000
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