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foranlogan2
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could anyone help me also with this question as i am very confused,i have read my notes but i really have a problem with this stuff making anysense, any help would be appreciated thanks
question 6))
The Yukawa potential is given by V°(gamma)(r) = (q)^2/{
4(pi)(eo)0r exp(-°(gamma)r)}, where °(gamma) is a constant. This
describes a screened Coulomb potential.
a)
Sketch the radial dependence of this potential.
b)State the radial SchrÄodinger equation for this potential
c)Assume that °(gamma) is a small parameter. Use ¯rst-order perturbation theory to esti-
mate the energy shift of the ground state of the hydrogen atom when the Coulomb
potential is replaced by the Yukawa potential.
(Hint: The perturbation is w = V(gamma)- Vo
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question 6))
The Yukawa potential is given by V°(gamma)(r) = (q)^2/{
4(pi)(eo)0r exp(-°(gamma)r)}, where °(gamma) is a constant. This
describes a screened Coulomb potential.
a)
Sketch the radial dependence of this potential.
b)State the radial SchrÄodinger equation for this potential
c)Assume that °(gamma) is a small parameter. Use ¯rst-order perturbation theory to esti-
mate the energy shift of the ground state of the hydrogen atom when the Coulomb
potential is replaced by the Yukawa potential.
(Hint: The perturbation is w = V(gamma)- Vo