Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions  

作　　者：Sami Ortakaya 

机构地区：[1]Institute of Natural and Applied Sciences,Department of Physics,Erciyes University

出　　处：《Chinese Physics B》2013年第7期64-69,共6页中国物理B（英文版）

摘　　要：The exact solutions of the N-dimensional Klein–Gordon equation in the presence of an exactly solvable potential of V（r）=De（r/re-re/r）2 type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH,H2,and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.The exact solutions of the N-dimensional Klein–Gordon equation in the presence of an exactly solvable potential of V（r）=De（r/re-re/r）2 type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH,H2,and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.

关 键 词：Klein–Gordon equation Laplace integral transform bound states 

分 类 号：O412.1[理学—理论物理] TN752[理学—物理]