) Construct the spatial wave function () for hydrogen in the state l = 2, m = 1. Express your answer as a function of r, 0, 0, and Bohr radius) only-no other variables (p, z, etc.) or functions (Y, v, constants (A, co, etc.), or derivatives, allowed (7 is okay, and e, and %3D -) Check that this wave function is properly normalized, by carrying appropriate integrals over r, 0, and ø. :) Find the expectation value of r in this state. For what range of s (
) Construct the spatial wave function () for hydrogen in the state l = 2, m = 1. Express your answer as a function of r, 0, 0, and Bohr radius) only-no other variables (p, z, etc.) or functions (Y, v, constants (A, co, etc.), or derivatives, allowed (7 is okay, and e, and %3D -) Check that this wave function is properly normalized, by carrying appropriate integrals over r, 0, and ø. :) Find the expectation value of r in this state. For what range of s (
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Problem 4.43
(a) Construct the spatial wave function () for hydrogen in the state n = 3,
l1 = 2, m = 1. Express your answer as a function of r, 0, 4, and ä (the
Bohr radius) only-no other variables (p, z, etc.) or functions (Y, v, etc.), or
constants (A, Co, etc.), or derivatives, allowed (7 is okay, and e, and 2, etc.).
%3D
(b) Check that this wave function is properly normalized, by carrying out the
appropriate integrals over r, 0, and ø.
(c) Find the expectation value of rº in this state. For what range of s (positive
and negative) is the result finite?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d2fdd51-a813-4b36-89e9-f9581acfc2ee%2Ff7db8631-bbab-4a23-a914-27ed0598e9fe%2Fi67cgr7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4.43
(a) Construct the spatial wave function () for hydrogen in the state n = 3,
l1 = 2, m = 1. Express your answer as a function of r, 0, 4, and ä (the
Bohr radius) only-no other variables (p, z, etc.) or functions (Y, v, etc.), or
constants (A, Co, etc.), or derivatives, allowed (7 is okay, and e, and 2, etc.).
%3D
(b) Check that this wave function is properly normalized, by carrying out the
appropriate integrals over r, 0, and ø.
(c) Find the expectation value of rº in this state. For what range of s (positive
and negative) is the result finite?
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