Semiclassical Double-Inequality on Heisenberg Uncertainty Relation in 1D

• Authors: K. Bering
• Languages of publication: 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

03.65.-w; 03.65.Ge; 03.65.Sq

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Sq: Semiclassical theories and applications
• 03.65.Ge: Solutions of wave equations: bound states

• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 6
• Pages: 1093-1099

Dates

published

2016-06

received

2015-10-12

Contributors

author

K. Bering

• 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

Identifiers

DOI

10.12693/APhysPolA.129.1093