1. Some Math: The orbital angular momentum operator in quantum mechanics isdefined asa) Using the gradient in spherical coordinates1 ofr doshow thatV =b) From part a) show thatỉ = − iħ(† × V)ddr+i = -th(c, 20-₁e1rsin18sin coL₂ = ẹ₂· Ī =— iħ-e.c) Find the eigenfunctions of L₂ given in part b)əapôdo

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Answered: 1. Some Math: The orbital angular…

1. Some Math: The orbital angular momentum operator in quantum mechanics is defined as a) Using the gradient in spherical coordinates 1 of rde show that V L = -ih(† x V) d dr +e. 1 ô do rsin

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Question

1. Some Math: The orbital angular momentum operator in quantum mechanics is
defined as
a) Using the gradient in spherical coordinates
1 of
r do
show that
V =
b) From part a) show that
ỉ = − iħ(† × V)
d
dr
+
i = -th(c, 20-₁
e
1
rsin
18
sin co
L₂ = ẹ₂
· Ī =— iħ-
e.
c) Find the eigenfunctions of L₂ given in part b)
ə
ap
ô
do

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