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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 155, Number 3, Pages 439–452
DOI: https://doi.org/10.4213/tmf6221 (Mi tmf6221) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Coherent states for the Hartmann potential

N. Kandirmaza, N. Ünalb

a University of Mersin
b Akdeniz University
Full-text PDF (385 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf6221
Abstract: We obtain the coherent states for a particle in the noncentral Hartmann potential by transforming the problem into four isotropic oscillators evolving in a parametric time. We use path integration over the holomorphic coordinates to find the quantum states for these oscillators. The decomposition of the transition amplitudes gives the coherent states and their parametric-time evolution for the particle in the Hartmann potential. We also derive the coherent states in the parabolic coordinates by considering the transition amplitudes between the coherent states and eigenstates in the configuration space.
Keywords: Hartmann potential, noncentral potential, coherent state in parametric time, path integral.
Received: 10.01.2007
Revised: 14.06.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 3, Pages 884–895
DOI: https://doi.org/10.1007/s11232-008-0074-z
Bibliographic databases:
Language: Russian
Citation: N. Kandirmaz, N. Ünal, “Coherent states for the Hartmann potential”, TMF, 155:3 (2008), 439–452; Theoret. and Math. Phys., 155:3 (2008), 884–895
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v155/i3/p439
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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