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Noncommutative phase space with rotational symmetry and hydrogen atom

Kh. P. Gnatenko

http://orcid.org/0000-0003-2801-5872

Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., Lviv, 79005, Ukraine

E-mail Address: [email protected]

Corresponding author.

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and

V. M. Tkachuk

Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov St., Lviv, 79005, Ukraine

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https://doi.org/10.1142/S0217751X17501615Cited by:12 (Source: Crossref)

Abstract

We construct algebra with noncommutativity of coordinates and noncommutativity of momenta which is rotationally invariant and equivalent to noncommutative algebra of canonical type. Influence of noncommutativity on the energy levels of hydrogen atom is studied in rotationally invariant noncommutative phase space. We find corrections to the levels up to the second order in the parameters of noncommutativity and estimate the upper bounds of these parameters.

Keywords:

PACS: 11.90.+t, 11.10.Nx, 03.65.-w

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Vol. 32, No. 26

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History

Received 25 August 2017

Accepted 4 September 2017

Published: 20 September 2017

Keywords

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Noncommutative phase space with rotational symmetry and hydrogen atom

Abstract

References

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Noncommutative phase space with rotational symmetry and hydrogen atom

Abstract

References

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