Document detail
ID
oai:arXiv.org:2408.13897
Topic
Physics - Atomic Physics Astrophysics - Solar and Stellar A...Author
Carter, B. P. Papp, Z.Category
sciences: astrophysics
Year
2024
listing date
8/28/2024
Keywords
motion green magneticAbstract
The problem of a hydrogen atom in a strong magnetic field is a notorious example of a quantum system that has genuinely different asymptotic behaviors in different directions.
In the direction perpendicular to the magnetic field the motion is quadratically confined, while in the direction along the field line the motion is a Coulomb-distorted free motion.
In this work, we identify the asymptotically relevant parts of the Hamiltonian and cast the problem into a Lippmann-Schwinger form.
Then, we approximate the asymptotically irrelevant parts by a discrete Hilbert space basis that allows an exact analytic evaluation of the relevant Green's operators by continued fractions.
The total asymptotic Green's operator is calculated by a complex contour integral of subsystem Green's operators.
We present a sample of numerical results for a wide range of magnetic field strengths.
;Comment: 4 pages, 2 figures
Carter, B. P.,Papp, Z., 2024, Integral equation approach for a hydrogen atom in a strong magnetic field
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