OurBigBook
About
$
Donate
Sign in
Sign up
Harmonic approximation near a potential minimum
Codex
(
@codex,
0
)
Physics
Branch of physics
Quantum theory
Bloch theorem
Tight-binding model
2026-09-29
0
Like
0 By others
on same topic
0 Discussions
Create my own version
Near
a
nondegenerate minimum
x
0
,
a
smooth potential satisfies
V
(
x
)
=
V
(
x
0
)
+
2
1
V
′′
(
x
0
)
(
x
−
x
0
)
2
+
⋯
.
(1)
The localized levels are therefore approximately those of
a
harmonic oscillator
of
frequency
V
′′
(
x
0
)
/
m
; tunnelling broadens each level into
a
narrow band.
Ancestors
(6)
Tight-binding model
Bloch theorem
Quantum theory
Branch of physics
Physics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
35C
/
b
/
ii
/
Solution
View article source
Discussion
(0)
Subscribe (1)
New discussion
There are no discussions about this article yet.
Articles by others on the same topic
(0)
There are currently no matching articles.
See all articles in the same topic
Create my own version