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Neutral 3-body system in a strong magnetic field: factorization and exact solutions. (English) Zbl 1370.70035

Summary: Neutral systems containing two identical particles in a homogeneous magnetic field are shown to obey exact factorizable solutions both in nonrelativistic and relativistic formalism, similarly to the neutral two-body systems. Concrete examples of the helium atom and the neutron as a (ddu) system are considered.

MSC:

70F07 Three-body problems
78A25 Electromagnetic theory (general)

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