As an analogue of the previous post dealing with the classical particles, in this post, I shall formally discuss how similar models for quantum particles arrive. These particles behave like a wave and their dynamics is governed by the Schrödinger equation. We start the chapter with some basic quantum mechanics.

## Archive for the ‘Quantum kinetic theory’ Category

## Kinetic Theory, chapter 2: quantum models

Posted in Kinetic theory, Math 597C: Graduate topics course on Kinetic Theory, Quantum kinetic theory, tagged Gross-Pitaevskii equations, Hartree equations, quantum Boltzmann, Schrodinger on October 4, 2017| Leave a Comment »

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## Uniform lower bound for solutions to a quantum Boltzmann

Posted in New papers, Quantum kinetic theory on May 26, 2016| Leave a Comment »

With Minh-Binh Tran, we establish uniform lower bounds, by a Maxwellian, for positive radial solutions to a Quantum Boltzmann kinetic model for bosons; see arXiv preprint.