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A hydrogen atom on curved noncommutative space

V.G. Kupriyanov
(
- ABC Federal U.
)

Sep, 2012

7 pages

Published in:

J.Phys.A 46 (2013) 245303

Published: 2013

e-Print:

1209.6105 [math-ph]

DOI:

10.1088/1751-8113/46/24/245303

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Abstract: (IOP)

We have calculated the hydrogen atom spectrum on curved noncommutative space defined by the commutation relations , where θ is the parameter of noncommutativity. The external antisymmetric field which determines the noncommutativity is chosen as ωij(x) = εijkxkf(xixi). In this case, the rotational symmetry of the system is conserved, preserving the degeneracy of the energy spectrum. The contribution of the noncommutativity appears as a correction to the fine structure. The corresponding nonlocality is calculated: , where m is a magnetic quantum number.

02.40.Gh
02.30.Sa
02.30.Tb
03.65.-w
space: noncommutative
hydrogen: atom
commutation relations
energy spectrum
fine structure
nonlocal

References(27)

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