# Martin L. R. FürstTechnische Universität München | TUM · Department of Mathematical Physics

Martin L. R. Fürst

Dipl.-Math., Dipl.-Phys., BSc Phil.

## About

6

Publications

456

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88

Citations

Citations since 2017

Introduction

**Skills and Expertise**

Education

September 2005 - July 2007

September 2004 - April 2010

September 2003 - April 2008

## Publications

Publications (6)

We derive and analyze an effective quantum Boltzmann equation in the kinetic
regime for the interactions of four distinguishable types of fermionic
spin-$\frac{1}{2}$ particles, starting from a general quantum field
Hamiltonian. Each particle type is described by a time-dependent, $2 \times 2$
spin-density ("Wigner") matrix. We show that density an...

We study the Boltzmann transport equation for the Bose-Hubbard chain in the
kinetic regime. The time-dependent Wigner function is matrix-valued with odd
dimension due to integer spin. For nearest neighbor hopping only, there are
infinitely many additional conservation laws and nonthermal stationary states.
Adding longer range hopping amplitudes ent...

For the spin-$\{1}{2}$ Fermi-Hubbard model we derive the kinetic equation
valid for weak interactions by using time-dependent perturbation expansion up
to second order. In recent theoretical and numerical studies the kinetic
equation has been merely stated without further details. In this contribution
we provide the required background material.

We study, both analytically and numerically, the Boltzmann transport equation for the Hubbard chain with nearest-neighbor hopping and spatially homogeneous initial condition. The time-dependent Wigner function is matrix-valued because of spin. The H theorem holds. The nearest-neighbor chain is integrable, which, on the kinetic level, is reflected b...

We study, both analytically and numerically, the Boltzmann transport equation for the Hubbard chain with nearest neighbor hopping and spatially homogeneous initial condition. The time-dependent Wigner function is matrix-valued because of spin. The H-theorem holds. The nearest neighbor chain is integrable which, on the kinetic level, is reflected by...

We show how to approximate Dirac dynamics for electronic initial states by
semi- and non-relativistic dynamics. To leading order, these are generated by
the semi- and non-relativistic Pauli hamiltonian where the kinetic energy is
related to $\sqrt{m^2 + \xi^2}$ and $\xi^2 / 2m$, respectively. Higher-order
corrections can in principle be computed to...