Eigenstates and dynamics of Hooke’s atom: Exact results and path integral simulations

DOI10.1063/1.5028503zbMath1390.81187OpenAlexW2800430224WikidataQ57599687 ScholiaQ57599687MaRDI QIDQ4565436

Hossein Gholizadehkalkhoran, Ilkka Ruokosenmäki, Tapio T. Rantala

Publication date: 12 June 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5028503

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Atomic physics (81V45) Exactly and quasi-solvable systems arising in quantum theory (81U15) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

• Unnamed Item
• Numerical path integral solution to strong Coulomb correlation in one dimensional Hooke's atom
• On the 1D Coulomb Klein–Gordon equation
• One-dimensional hydrogen atom: a singular potential in quantum mechanics
• Two singular potentials: The space-splitting effect
• Numerical Path Integral Approach to Quantum Dynamics and Stationary Quantum States

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