Splitting of Spectra in Anharmonic Oscillators Described by Kratzer Potential Function  

作　　者：Irina Petreska Trifce Sandev Gjorgji Ivanovski Ljupo Pejov 

机构地区：[1]Institute of Physics,Faculty of Natural Sciences and Mathematics [2]Radiation Safety Directorate,blv.Partizanski Odredi 143 [3]Institute of Chemistry,Department of Physical Chemistry,Ss.Cyril and Methodius University

出　　处：《Communications in Theoretical Physics》2010年第7期138-142,共5页理论物理通讯（英文版）

摘　　要：A perturbation theory model that describes splitting of the spectra in highly symmetrical molecular species in electrostatic field is proposed. An anahrmonie model of a two-dimensional oscillator having Kratzer potential energy function is used to model the molecular species and to represent the unperturbed system. A selection rule for the radial quantum number of the oscillator is derived. The eigenfunctions of a two-dimensional anharmonic oscillator in cylindrical coordinates are used for the matrix elements representing the probability for energy transitions in dipole approximation to be calculated. Several forms of perturbation operators are proposed to model the interaction between the polyatomic molecular species and an electrostatic field. It is found that the degeneracy is removed in the presence of the electric field and spectral splitting occurs. Anharmonic approximation for the unperturbed system is more accurate and reliable representation of a reaJ polyatomic molecular species.

关 键 词：two-dimensional anharmonic oscillator Kratzer potential DEGENERACY selection rules PERTURBATION 

分 类 号：O561.3[理学—原子与分子物理] TN752[理学—物理]