Maurice Tutor

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Teaching Since: May 2017
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Education

  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 09 Feb 2018 My Price 7.00

example of the method

As  an  explicit  example  of  the  method  developed  in  Problem  7.15, consider  an  electron  at  rest  in  a  uniform  magnetic  field  B  = B), for  which  the Hamiltonian  is  (Equation  4.158):

 

 

Ho =

 

eB-

-S:,

n,

 

 

[7.57]

 

 

The eigenspinors, Xa and X /J , and the corresponding  energies,  Ea  and E1,, are given in  Equation  4.161.  Now  we  turn  on  a  perturbation,  in  the form  of  a  unifonn field

in  the  x direction:

 

,     e Bx

H  = -S.\··

11l

 

[7.58]

 

 

(a)                     ) Find the matri x elements of H' , and confirm  that  they  have the structure of Equation 7.55. What is h'?

(b)                    Usi ng your result in Problem 7. l 5(b), find the new ground state energy, in second-order perturbation theory.

(c)                    ) Usi ng your result in Problem  7.15(c), find the variational pdnciple bou nd on the ground state energy.

 

 

Answers

Maurice Tutor
(5)
Status NEW Posted 09 Feb 2018 10:02 PM My Price 7.00

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