Problem 40.6Part AA 16-nm-long box has a thin partition that dividesthe box into a 4-nm-long section and a12-nm-long section. An electron confined in theshorter section is in the n = 2 state. The partition isbriefly withdrawn, then reinserted, leaving theelectron in the longer section of the box.What is the electron's quantum state after the partition is back in place?n =Ο ΑΣΦ0?

Answered: Problem 40.6 Part A A 16-nm-long box…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 58P

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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?
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