Regensburg 2022 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 14: Quantum Foundations

QI 14.6: Vortrag

Freitag, 9. September 2022, 11:15–11:30, H9

Dynamical Theories in Phase-Space: The Almost Hydrogen Atom — •Martin Plávala and Matthias Kleinmann — Universität Siegen, Siegen, Deutschland

We construct a large class of operational theories of hydrogen atom that includes both classical and quantum theory as special cases. We show that one can formulate a well-defined theory of stationary bound states even without uniquely defined time-evolution and we prove that the ground state energy is finite only if the theory exhibits preparation uncertainty relation between position and momentum observables. We perturb the Hamiltonian by including external magnetic field, which leads to breaking of the degeneracy of the energy spectrum; in this setting we show that the magnetic quantum number is bounded by the principal quantum number, similarly as in quantum theory. We also perturb the Hamiltonian by nonstationary electric field and we show that this leads to excitations of the atom. Finally we investigate scattering theory where we show that Rutherford formula for scattering holds in all investigated operational theories.