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Relativistic Schrodinger Wave Equation for Hydrogen Atom Using Factorization Method
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作者 Mohammad Reza Pahlavani Hossein Rahbar Mohsen Ghezelbash 《Open Journal of Microphysics》 2013年第1期1-7,共7页
In this investigation a simple method developed by introducing spin to Schrodinger equation to study the relativistic hydrogen atom. By separating Schrodinger equation to radial and angular parts, we modify these part... In this investigation a simple method developed by introducing spin to Schrodinger equation to study the relativistic hydrogen atom. By separating Schrodinger equation to radial and angular parts, we modify these parts to the associated Laguerre and Jacobi differential equations, respectively. Bound state Energy levels and wave functions of relativistic Schrodinger equation for Hydrogen atom have been obtained. Calculated results well matched to the results of Dirac’s relativistic theory. Finally the factorization method and supersymmetry approaches in quantum mechanics, give us some first order raising and lowering operators, which help us to obtain all quantum states and energy levels for different values of the quantum numbers n and m. 展开更多
关键词 Relativistic Schrodinger Wave Equation Factorization Method ladder operators SUPERSYMMETRY SPIN
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Barut–Girardello Coherent States for Nonlinear Oscillator with Position-Dependent Mass 被引量:1
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作者 Naila Amir Shahid Iqbal 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第7期41-48,共8页
Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the non-linear oscillator,... Using ladder operators for the non-linear oscillator with position-dependent effective mass, realization of the dynamic group SU(1,1) is presented. Keeping in view the algebraic structure of the non-linear oscillator, coherent states are constructed using Barut–Girardello formalism and their basic properties are discussed. Furthermore, the statistical properties of these states are investigated by means of Mandel parameter and second order correlation function. Moreover,it is shown that in the harmonic limit, all the results obtained for the non-linear oscillator with spatially varying mass reduce to corresponding results of the linear oscillator with constant mass. 展开更多
关键词 position-dependent mass nonlinear oscillator Schdinger factorization ladder operators su(1 1) algebra Barut–Girardello coherent states sub-poissonian statistics
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Generalized Coherent States for Position-Dependent Effective Mass Systems
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作者 Naila Amir Shahid Iqbal 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第12期615-620,共6页
A generalized scheme for the construction of coherent states in the context of position-dependent effective mass systems has been presented. This formalism is based on the ladder operators and associated algebra of th... A generalized scheme for the construction of coherent states in the context of position-dependent effective mass systems has been presented. This formalism is based on the ladder operators and associated algebra of the system which are obtained using the concepts of supersymmetric quantum mechanics and the property of shape invariance. In order to exemplify the general results and to analyze the properties of the coherent states, several examples have been considered. 展开更多
关键词 generalized coherent states supersymmetric quantum mechanics shape invariance ladder operators position-dependent effective mass systems non-linear oscillators Mandel parameter subPoissonian statistics
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