Atomic & Molecular PhysicsRelativistic Corrections for Energy Levels of Hydrogen Atom (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1  2 of 4
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Question number: 1
» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom
Appeared in Year: 2011
Question
The energy levels of the non –relativistic electron in a hydrogen atom i. e. , in a Coulomb potential are given by, where, n is principal quantum number, and the corresponding wave functions are given by , where is the orbital angular momentum quantum number and m is the magnetic quantum number. The spin of the electron is not considered. Which of the following is a correct statement?  (June)
Choices
Choice (4)  Response  

a.  does not depend on and for the Coulomb potential 

b.  There are different wave function for each 

c.  There is a unique wave function and 

d.  There are exactly different wave function , for each 

Question number: 2
» Atomic & Molecular Physics » Relativistic Corrections for Energy Levels of Hydrogen Atom
Appeared in Year: 2013
Question
The energy of an electron in a band as a function of its wave vector is given by , where and are constants. The effective mass of the electron near the bottom of the band is – (Dec 2013)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

