6. An electron in hydrogen atom is in initial state p(r, 0) = A(24100 + ¡Þ210 + 4)21–1- 2if211) where wmim are the eigenfunctions of the hydrogen atom a. Determine the constant A b. What is the probability of finding the electron in the first excited state? hw c. Write the state Þ(r, t) at time t, using energy eigenvalues as En
6. An electron in hydrogen atom is in initial state p(r, 0) = A(24100 + ¡Þ210 + 4)21–1- 2if211) where wmim are the eigenfunctions of the hydrogen atom a. Determine the constant A b. What is the probability of finding the electron in the first excited state? hw c. Write the state Þ(r, t) at time t, using energy eigenvalues as En
Related questions
Question
Transcribed Image Text:6. An electron in hydrogen atom is in initial state
Þ(r, 0) = A(2410o + iÞ210 + 421–1 – 2ib211)
where wnim are the eigenfunctions of the hydrogen atom
a. Determine the constant A
b. What is the probability of finding the electron in the first excited state?
hw
= -
n2
c. Write the state Þ(r, t) at time t, using energy eigenvalues as En
d. Find the expectation value of L in the state Þ(r,t
e. Find the expectation values of Lx and Ly in the state (r, t
f. If measurement of Lz led to the value –ħ what will be results of measurement of
energy and the square of total orbital momentum immediately afterwards and
what are their probabilities?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
