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Marvin Raimund Schulz

This semester I am TA (Teaching Assistant) for the class HM II (Physics).
Please see our Ilias-Class: https://ilias.studium.kit.edu/ilias.php?baseClass=ilrepositorygui&ref_id=2648094

My research is centered on the mathematical analysis of many-body systems in quantum mechanics. The nature of the models I study naturally leads to intersections with various disciplines in mathematics and physics, including functional analysis, spectral theory, the calculus of variations, partial differential equations, and many-body quantum mechanics.

My Ph.D. thesis, titled Analytic Studies of Atomic Structures and the Efimov Effect
was handed in. The defense will be held on April 29.

During my doctoral studies, I worked on the Ionization Conjecture for atomic systems, deriving new bounds on the maximal excess charge [1].
In parallel, I studied the existence and absence of the Efimov effect in different configurations of constrained quantum particles (see for example [2])

For more detailed information please see my more detailed Research Statement and my CV.

Manuscripts
These preprints will be available on arXiv soon. Stay tuned for updates!
[1] On the Excess Charge Problem of Atoms
[2] Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect (arXiv)

Preprint: CRC 1173 Preprint
[3] Absence of the Efimov effect for a system of confined particles (Compared to [2] we cover the case of particles with equal masses only, but for a larger class of potentials)

Manuscripts in writing:
[4] Conspiracy of Potential Wells and Absence of Efimov Effect in Dimension Four.
[5] Existence of the Confined Efimov Effect for Systems of Two Two-Dimensional Particles Interacting with a Third (un)-Confined Particle.

Publications: Written and Co-Authored as a Student (Physics)
[Phys: 1] Analytical Solution of a Gas Release Problem considering Permeation with Time-Dependent Boundary Conditions
[Phys: 2] Numerical Analysis of an Isovolumetric Thermal Desorption Experiment

Master & Bachelor Thesis:
[M.Sc.-Thesis] The Bogolubov-de Gennes Equations in Generalized Hartree-Fock Theory
[B.Sc.-Thesis] Numerische Berechnung von stationären Zuständen der Bloch-Redfield Mastergleichung

Teaching Evaluation:
Analysis III, Winter 19/20
Advanced Mathematics, Winter 20/21
Advanced Mathematics, Summer 23



Current List of Courses

Semester Titel Typ
Winter Semester 2024/25 Lecture
Summer Semester 2024 Lecture
Winter Semester 2023/24 Lecture
Summer Semester 2023 Lecture
Winter Semester 2022/23 Lecture
Summer Semester 2022 Lecture
Winter Semester 2021/22 Lecture
Summer Semester 2021 Lecture
Winter Semester 2020/21 Lecture
Seminar
Summer Semester 2020 Lecture
Winter Semester 2019/20 Lecture