4 papers
After 100 Years of Quantum Mechanics: Toward a Constructive Observation-Centered Perspective
Timothy Stroschein, Markus Reiher
Quantum mechanics owes much of its extraordinary success to a Hilbertian program of mathematical formalization. Yet, the formalism remains poorly aligned with the practical limitat…
Ground and excited-state energies with analytic errors and short time evolution on a quantum computer
Timothy Stroschein, Davide Castaldo, Markus Reiher
Accurately solving the Schrödinger equation remains a central challenge in computational physics, chemistry, and materials science. Here, we propose an alternative eigenvalue probl…
Local spectral approximation of unbounded operators: non-asymptotic and unified error quantification for subspace methods
Timothy Stroschein
We introduce a framework for subspace methods which approximate the spectra of self-adjoint, unbounded operators in a local region. Using the projection-valued measure, we derive i…
Prolate Spheroidal Wave Functions and the Accuracy and Dimensionality of Spectral Analysis
Timothy Stroschein
The main result of this thesis is an efficient protocol to determine the frequencies of a signal , which is given for a finite time, to a high deg…