TWO INTERACTING PARTICLES IN A PARABOLIC WELL: HARMONIUM AND RELATED SYSTEMS*

Karwowski Jacek; Cyrnek Lech

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TWO INTERACTING PARTICLES IN A PARABOLIC WELL: HARMONIUM AND RELATED SYSTEMS*

机译：抛物线形井中的两个相互作用粒子：氢及相关系统*

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The quasi-exactly solvable problem of two interacting electrons confined by a parabolic potential (harmonium) has been generalized for the case of two arbitrary particles. Several new features of the analytical solutions are presented.

机译：对于两个任意粒子的情况，已经推广了由抛物线电势（谐和）限制的两个相互作用电子的准精确可解问题。介绍了分析解决方案的几个新功能。

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《Computational Methods in Science and Technologygy》 |2003年第1期|共12页
作者
Karwowski Jacek; Cyrnek Lech;
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1. Ground states of a system of interacting particles in a parabolic trap [J] . Hussein MS., Vorov OK. Physica, B. Condensed Matter . 2002,第0期

机译：抛物线形陷阱中相互作用的粒子系统的基态
2. EXACT FORMULAS FOR TWO INTERACTING PARTICLES AND APPLICATIONS IN PARTICLE SYSTEMS WITH DUALITY [J] . Carinci Gioia, Giardina Cristian, Redig Frank The Annals of applied probability: an official journal of the Institute of Mathematical Statistics . 2020,第4期

机译：两种相互作用颗粒的精确公式和具有二元性的颗粒系统中的应用
3. Biconfluent Heun equation in quantum chemistry: Harmonium and related systems [J] . Jacek Karwowski, Henryk A. Witek Theoretical chemistry accounts . 2014,第7期

机译：量子化学中的Biconfluent Heun方程：铵及相关系统
4. Numerical Study of a Vlasov Equation for Systems with Interacting Particles [C] . Dianela Herrera, Sergio Curilef International Conference on Numerical Analysis and Applied Mathematics . 2015

机译：相互作用粒子系统Vlasov方程的数值研究
5. Limit theorems for weighted *stochastic systems of interacting particles. [D] . Wu, Jie. 2006

机译：相互作用粒子的加权*随机系统的极限定理。
6. Nonlinear Fokker–Planck Equation Approach to Systems of Interacting Particles: Thermostatistical Features Related to the Range of the Interactions [O] . Angel R. Plastino, Roseli S. Wedemann 2020

机译：非线性Fokker-Planck方程方法与交互粒子系统：与交互范围相关的恒温功能
7. Ground states of a system of interacting particles in a parabolic trap [O] . Hussein, M. S., Vorov, O. K. 2001

机译：抛物线陷阱中相互作用粒子系统的基态
8. Wigner Quantum Systems. Two Particles Interacting Via a Harmonic Potential-1: Two-Dimensional Space [R] . Kamupingene, A. H., Palev, T. D., Tsaneva, S. P. 1985

机译：Wigner Quantum systems。两个粒子通过谐波势-1相互作用：二维空间

TWO INTERACTING PARTICLES IN A PARABOLIC WELL: HARMONIUM AND RELATED SYSTEMS*

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