The Quantum Mechanics Solver 4 doc
The Quantum Mechanics Solver 4 doc
...
12
≥ 140 00 km for
the oscillation resulting from the superposition 1 ↔ 2, and
23
≥ 40 0 km for
the oscillation resulting from the superposition 2 ↔ 3.
1.2 .4. The factor of 2 between the expected ... We notice that the KamLAND data point corresponds to the
second oscillation of the curve
1 .4 Comments 27
1 .4 Comments
The difficulty of such experiments comes from th...
The Quantum Mechanics Solver 28 docx
... −
U
0
4
.
The diagonalization of the matrix
U
0
4
2 −1
−12
gives the two eigenvalues 3U
0
/4andU
0
/4, which means that the two bands
n =0andn = 1 do not touch each other anymore, but that they ... 100, 105
proton therapy, 94
pure case, 1
QND measurement, 153, 167
quantum boxes, 215
quantum cryptography, 121, 125
quantum dots, 215
quantum eraser, 155, 159
quantum m...
The Quantum Mechanics Solver 2 docx
... information on the state of the system after
the measurement has been performed. The information acquired on the state
before the measurement is very “poor”, i.e. if the measurement gave the result
a
α
, ... ,
where M is the mass of the particle.
Continuity of the Wave Function
If the potential V is continuous, the eigenfunctions of the Hamiltonian ψ
α
(r)
are cont...
The Quantum Mechanics Solver 3 docx
... between p and p
. The total cross-section is
then:
σ(k)=
2 mgca
¯h
2
4 a
2
1+4k
2
a
2
(Born) .
14 Summary of Quantum Mechanics
Low Energy Scattering
When the wavelength of the incident particle ... between the various q con-
tributing to the sum which defines V(q). In the case of a charge distribution,
˜
V is the Rutherford amplitude, and the form factor F is the...
The Quantum Mechanics Solver 14 docx
... is the probability
to find the atom in the state |f and the field in the state |0?
14. 4.2. Write the probability P
f
(T ) to find the atom in the state |f, inde-
pendently of the state of the ... time t = 0 the atom
enters the cavity and the state of the system is |e⊗|α.
14. 4.1. Calculate the probability P
f
(T,n) to find, at time T, the atom in the
stat...
The Quantum Mechanics Solver 15 docx
... x
0
is the characteristic
length of the problem. We set C
s
=
s
N=0
√
N.
14. 6 Solutions 141
14. 2 .4. The operator
ˆ
W is block-diagonal in the eigenbasis of
ˆ
H
0
{|f,n, |e, n}. Therefore:
• The ... quantization of the electromagnetic
142 14 Direct Observation of Field Quantization
Section 14. 4: Interaction of an Atom with a Quasi-Classical State
14. 4.1. Again, we ex...
The Quantum Mechanics Solver 19 docx
... 3 .4. The bound is
therefore saturated if the interaction is harmonic.
In order to improve the bound, one must further specify the interaction.
Actually, the bound is saturated if and only if the ... with µ
=3m /4 .
18.3 .4. For a Coulomb-type potential, we obtain
E
(3)
≥−
3
2
µ
b
4
¯h
2
= −
9
8
mb
4
¯h
2
,
which deviates by only 6% from the exact answer −1.067 mb
4
/...
The Quantum Mechanics Solver 1 ppsx
... 148
15.3 The Interaction between the System
andtheDetector 149
15 .4 An“Ideal”Measurement 149
15.5 Solutions 150
Jean-Louis Basdevant Jean Dalibard
The Quantum
Mechanics Solver
How to Apply Quantum ... Interaction of the Atom with
an“Empty”Cavity 1 34
14. 4 Interaction of an Atom
withaQuasi-ClassicalState 135
14. 5 Large Numbers of Photons: Damping
andRevivals 136
14. 6...
The Quantum Mechanics Solver 5 pps
... Splitting of the Ground State
2.1.1. The Hilbert space of the ground state is the tensor product of the
electron spin space and the nucleus spin space. Its dimension d is therefore
the product of their ... due to the entrance and the exit of the field
zone.
36 2 Atomic Clocks
Section 2 .4: The Drift of Fundamental Constants
Using the expression given in the text for...
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