PROBLEM 3. Using the variational method, calculate the ground s ergy Eo of a particle in the triangular potential: U(r) = 0 r < 0; and U(r) = Fx, a> 0. Use the trial function (x) = Cr exp(-a.x),
PROBLEM 3. Using the variational method, calculate the ground s ergy Eo of a particle in the triangular potential: U(r) = 0 r < 0; and U(r) = Fx, a> 0. Use the trial function (x) = Cr exp(-a.x),
Related questions
Question
Transcribed Image Text:PROBLEM 3. Using the variational method, calculate the ground state en-
ergy Eo of a particle in the triangular potential:
U(r) = 0 r < 0;
and
U(r) = Fx, x > 0.
Use the trial function
v(x) = Cx exp(-ar),
where a is a variational parameter and C is a normalization constant to
be found. Compare your result for Eo with the exact solution, Eo
1.856(h? F/m)/3.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
