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2016 | 129 | 6 | 1093-1099
Article title

Semiclassical Double-Inequality on Heisenberg Uncertainty Relation in 1D

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EN
Abstracts
EN
We prove a double-inequality for the product of uncertainties for position and momentum of bound states for 1D quantum mechanical systems in the semiclassical limit.
Keywords
EN
Contributors
author
  • Institute for Theoretical Physics and Astrophysics, Masaryk University, Kotlářská 2, CZ-611 37 Brno, Czech Republic
References
  • [1] L.D. Landau, E.M. Lifshitz, Quantum Mechanics, Vol. 3, 3rd ed., Pergamon Press, Oxford 1965, Ch. 7
  • [2] A. Galindo, P. Pascual, Quantum Mechanics, Vol. II, 2nd ed., Springer, Berlin 1989, Ch. 9
  • [3] H.S. Friedrich, Theoretical Atomic Physics, 2nd ed., Springer, Berlin 1998, Sect. 1.5.3, doi: 10.1007/978-3-662-03704-1
  • [4] M. Gromov, Inv. Math. 82, 307 (1985), doi: 10.1007/BF01388806
  • [5] M. de Gosson, F. Luef, Phys. Rep. 484, 131 (2009), doi: 10.1016/j.physrep.2009.08.001
  • [6] A.R. Usha Devi, H.S. Karthik, arXiv: 1108.2682 (2012) http://arXiv.org/abs/1108.2682
Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv129n604kz
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