Quantum Mechanics
This course aims to provide attendees with a comprehensive
view of weak points of conventional device physics and a
fundamental insights from quantum mechanics that is
indispensable to establish new device physics soon. After
completing
Final examination of the course “Introduction to Quantum Mechanics (1)”
Date: 01/16/2013 Time: 10:00-12:30 Place: Room xxx
Total score: 100
1. Consider a rectangular “quantum rod” with the conﬁning potential,
V(x,y,2) = Km + VyU) + V,(2),
0, 0<a<La ,
, Wl
1. 1
normalize them)
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2. a and 52+ are the lowering and raising operators of 610131;” (@3331
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i I
is the expectation value of (¢:;t+a"-‘)2 at state an) ‘?
expectation value of (a+«:1r+)3 at
Final examination of the course “Introduction to Quantum Mechanics (1)”
Date: 01/14/2009 Time: 10:00-12:30 Place: Room EF252
Total score: 120
1. Suppose that f (x) and g(x) are two eigenfunctions of an operator Q , with the
same eigenvalue 9'. Show that a
If A and B are hermitim 0%
operator? N4 4 Is AB a hermitim o
For a simple harmonic oscillator where Raf/2m 4+:-
ﬁrst two eigenstates. At t = 0, the oscillator is at state i i' ‘
(25“)?!
time will (x) reache maximum? T“ “ " ‘
value?_ 7‘
For a simple harmon
Quiz date : 2015/11/04 (Wen)
k =
(
)
( the mean value of the magnitude of the linear momentum )
Method 1
m
m 2
x
Ground state wavefunction : 0 ( x ) =
exp
2
14
p
= 2
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=
2
= m
=
m
2
m 2 d
m 2
dx
x
x
exp
2 exp
2 dx
2
2
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Quantum Mechanics
[1] Guidance as preparation for quantum mechanics ( ~ 2 weeks)
[2] Lecture of quantum mechanics ( ~ 10 week )
Basic Idea of Quantum Mechanics-1
On Uncertainty
Principle of Superposition
[3] Future application (~ 2 weeks)
Mar. 23/2010
H
Quantum Mechanics
This course aims to provide attendees with a comprehensive
view of weak points of conventional device physics and a
fundamental insights from quantum mechanics that is
indispensable to establish new device physics soon. After
completing
Quantum Mechanics
[1] Guidance as preparation for quantum mechanics ( ~ 2 weeks)
[2] Lecture of quantum mechanics ( ~ 10 week )
Basic Idea of Quantum Mechanics-1
On Uncertainty
Principle of Superposition
[3] Future application (~ 2 weeks)
Mar. 23/2010
H
Quantum Mechanics
From ITRS Road Map (2008)
10nm
de Broglie
This year
Nano-device!
Are you PHD?
Mar. 09/2010
Are you professor?
Hiroshi Watanabe
[email protected]
1
[1] Guidance as preparation for quantum mechanics ( ~ 2 weeks)
[2] Lecture of q