Find the ground state energy using the variational principle for the given Hamiltonian h d? H =- 2m dy - 78(y). Use the trial wave function ø(y)= De¯ª*. with a as the variational Hint: J y*e" dx = (2a)**r[m+ 2m-2a -т-1/2 parameter. | Hint: | y™e -my? (а) 2h? -2my (b) -my (c) my (d) Answer O O O
Find the ground state energy using the variational principle for the given Hamiltonian h d? H =- 2m dy - 78(y). Use the trial wave function ø(y)= De¯ª*. with a as the variational Hint: J y*e" dx = (2a)**r[m+ 2m-2a -т-1/2 parameter. | Hint: | y™e -my? (а) 2h? -2my (b) -my (c) my (d) Answer O O O
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Transcribed Image Text:Find the ground state energy using the variational principle for the given Hamiltonian
h? d?
– y8(y). Use the trial wave function ø(y)= De¯®´ with a as the variational
=H
2m dy
+00
1
parameter. Hint: y"ea dx = (2a)™-12 r| m+
–my
(а)
2h?
-2my?
(b)
2
-my
(c)
(d)
my?
Answer
A
O B
D
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