Relevant bibliographies by topics / General Heun function

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'General Heun function'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "General Heun function"

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Momeni, D., Koblandy Yerzhanov, and Ratbay Myrzakulov. "Quantized black hole and Heun function." Canadian Journal of Physics 90, no. 9 (2012): 877–81. http://dx.doi.org/10.1139/p2012-078.

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In this paper, following the simple proposal by He and Ma for quantization of a black hole (BH) using Bohr’s method, we discuss the solvability of the wave equation for such a BH. We consequentially solve the associated Schrödinger equation. The eigenfunction problem reduces to the HeunB, H(α, β, γ, δ; z), differential equation, which is a natural generalization of the hypergeometric differential equation. We investigate some physical properties of the wavefunction. We then obtain the expectation value of the kinetic and the potential energies, using Hellmann–Feynman theorem. Our work introduc
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Ishkhanyan, T. A., T. A. Shahverdyan, and A. M. Ishkhanyan. "Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients." Advances in High Energy Physics 2018 (July 4, 2018): 1–9. http://dx.doi.org/10.1155/2018/4263678.

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We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before. In general, the coefficients of the expansions obey three-term recurrence relations. However, there exist certain choices of the parameters for which the recurrence relations become two-term. The coefficients of the expansions are then explicitly expressed in terms of the gamma functions. Discussing the termination of the presented series, we show that the finite-sum solutions
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Du, Juan-Juan, Xue-Jing Wang, You-Biao He, Si-Jiang Yang, and Zhong-Heng Li. "Wave equations in conformal gravity." Modern Physics Letters A 33, no. 16 (2018): 1850090. http://dx.doi.org/10.1142/s0217732318500906.

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We study the wave equation governing massless fields of all spins (s = 0, [Formula: see text], 1, [Formula: see text] and 2) in the most general spherical symmetric metric of conformal gravity. The equation is separable, the solution of the angular part is a spin-weighted spherical harmonic, and the radial wave function may be expressed in terms of solutions of the Heun equation which has four regular singular points. We also consider various special cases of the metric and find that the angular wave functions are the same for all cases, the actual shape of the metric functions affects only th
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Lévai, Géza. "PT -Symmetric Potentials from the Confluent Heun Equation." Entropy 23, no. 1 (2021): 68. http://dx.doi.org/10.3390/e23010068.

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We derive exactly solvable potentials from the formal solutions of the confluent Heun equation and determine conditions under which the potentials possess PT symmetry. We point out that for the implementation of PT symmetry, the symmetrical canonical form of the Heun equation is more suitable than its non-symmetrical canonical form. The potentials identified in this construction depend on twelve parameters, of which three contribute to scaling and shifting the energy and the coordinate. Five parameters control the z(x) function that detemines the variable transformation taking the Heun equatio
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Choun, Yoon Seok. "The analytic solution for the power series expansion of Heun function." Annals of Physics 338 (November 2013): 21–31. http://dx.doi.org/10.1016/j.aop.2013.06.020.

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BARAR, ADINA, GABRIELA RALUCA MOCANU, and IOAN RASA. "Bounds for some entropies and special functions." Carpathian Journal of Mathematics 34, no. 1 (2018): 09–15. http://dx.doi.org/10.37193/cjm.2018.01.02.

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We consider a family of probability distributions depending on a real parameter and including the binomial, Poisson and negative binomial distributions. The corresponding index of coincidence satisfies a Heun differential equation and is a logarithmically convex function. Combining these facts we get bounds for the index of coincidence, and consequently for Renyi and Tsallis entropies of order 2.
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Ishkhanyan, Artur. "Incomplete beta-function expansions of the solutions to the confluent Heun equation." Journal of Physics A: Mathematical and General 38, no. 28 (2005): L491—L498. http://dx.doi.org/10.1088/0305-4470/38/28/l02.

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Ishkhanyan, T. A., V. P. Krainov, and A. M. Ishkhanyan. "Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations." Journal of Physics: Conference Series 1416 (December 2019): 012014. http://dx.doi.org/10.1088/1742-6596/1416/1/012014.

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ICHINOSE, Takashi, and Masato WAKAYAMA. "SPECIAL VALUES OF THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR AND CONFLUENT HEUN EQUATIONS." Kyushu Journal of Mathematics 59, no. 1 (2005): 39–100. http://dx.doi.org/10.2206/kyushujm.59.39.

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Schmidt, Heinz-Jürgen. "The Rabi problem with elliptical polarization." Zeitschrift für Naturforschung A 75, no. 11 (2020): 937–62. http://dx.doi.org/10.1515/zna-2020-0181.

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AbstractWe consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third-order differential equations with polynomial coefficients and hence solved in terms of power series in close analogy to the confluent Heun equation occurring for linear polarization. Application of Floquet theory yields physically interesting quantities like the quasienergy as a function of the problem’s parameters and expressions for the Bloch–Siegert shift of resonance frequencies. Variou
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Dissertations / Theses on the topic "General Heun function"

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Saget, Guillaume. "Interactions et résonances dans les systèmes quantiques." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCK024/document.

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Cette thèse traite des interactions et résonances dans les systèmes quantiques et se subdivise en trois sous-thématiques. Dans les premiers chapitres, nous proposons, dans le cadre de la limite locale, une méthode systématique de construction d'un hamiltonien vibrationnel mis sous forme normale pour des systèmes moléculaires à n degrés de liberté fortement excités, à partir des générateurs d'une algèbre de Lie, l'algèbre des polynômes invariants construite en mécanique classique à partir du noyau de l'opérateur adjoint adH0 . Puis, nous exposons les méthodes de construction en l'absence et en
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Colliander, Martha-Paula. "Hen: mer än ett ord på tre bokstäver : En korpusbaserad studie om distributionen av olika funktioner hos pronomenet hen i sociala medier 2012-2017." Thesis, Stockholms universitet, Institutionen för lingvistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-157900.

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Denna studie är en korbusbaserad undersökning som behandlar distributionen av olika funktioner hos pronomenet hen i sociala medier mellan 2012 och 2017. Sedan 2012, året då en stor debatt om hen briserade, har pronomenet börjat ta plats i svenska språket. Med data från korpusarna Bloggmix, Twittermix, Flashback och Familjeliv hämtade från Språkbankens textsamling med hjälp av sökverktyget Korp, analyseras totalt 186 hen. Data har taggats i åtta kategorier: könsöverskridande hen, anonymiserande hen och okänt kön, indefinit och generiskt hen, meta-hen, substantiverat hen, icke-mänskligt, otydlig
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Conference papers on the topic "General Heun function"

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Mastromanno, S., J. Petrucci, and E. Sciubba. "HENEA-3: A Second Law Based Expert Assistant for the Synthesis of Heat Exchanger Networks." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95765.

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The present paper describes the latest development of an Expert System for the design and optimization of Heat Exchange Networks (HEN). The code described herein, HENEA (acronym for Heat Exchanger Network Expert Assistant) is a Knowledge Based System capable of interacting with a Process Engineer to generate an optimal configuration for a HEN under several different objective functions. Contrary to most of the currently available methods, the code is able to produce such solutions by making explicit use of a set of Second Law Analysis criteria and of some of the basic principles of the “Pinch
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Journal articles
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