- #1

Rorshach

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## Homework Statement

Okay, I have no idea about the method they want me to solve it with. What in this case is the indicator that a function is appropriate?

A particle mass m affects a potential of the form ##V(x)=V_0 \frac{|x|}{a}## where ##V_0## and ##a## are positive constants.

a) Draw a sketch of the ground state wave function and indicate the characteristics of this function.

b) Use the variation method to determine an approximate value of the ground state energy. Use functions selected from the list below. Some of these functions are unsuitable while others are less good. Give reasons for all if they are worse or better! Then do the calculation with the function that you find most suitable.

##Nsin(\alpha x)exp(-\alpha |x|)##

##Nexp(-\alpha x^2)##

##\frac{N}{(x^2+\alpha^2)}##

##Nexp(-\alpha x^2)##

##\frac{N}{\sqrt{|x|+\alpha}}##