Majorant recursions to determine eigenstate bounds of a symmetric exponential quantum anharmonic oscillator

Journal Article · Thu Dec 31 00:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4938945· OSTI ID:22499188

Özdemir, Semra Bayat; Demiralp, Metin ^[1]

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1. Computational Science and Engineering Department, Informatics Institute, Istanbul Technical University, Istanbul (Turkey)

The determination of the energy states is highly studied issue in the quantum mechanics. Based on expectation values dynamics, energy states can be observed. But conditions and calculations vary depending on the created system. In this work, a symmetric exponential anharmonic oscillator is considered and development of a recursive approximation method is studied to find its ground energy state. The use of majorant values facilitates the approximate calculation of expectation values.

• OSTI ID: 22499188
• Journal Information: AIP Conference Proceedings, Vol. 1702, Issue 1; Conference: ICCMSE 2015: International conference of computational methods in sciences and engineering 2015, Athens (Greece), 20-23 Mar 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANHARMONIC OSCILLATORS
APPROXIMATIONS
EIGENSTATES
EXPECTATION VALUE
QUANTUM MECHANICS
SYMMETRY