The Hamiltonian of a two-level system is given by H =hoo,. At time 1 =0 the system is in the eigenstate of o, having the largest eigenvalue. The expectation values (o,)(t).(0.)(+) and (o.)() (where o, are Pauli matrices) are respectively (a) sin at ,0, and cos (b) cos sin and 0 2 ot and sin 2 ,0 and sin 2 (c) 0,cos (d) -cos
The Hamiltonian of a two-level system is given by H =hoo,. At time 1 =0 the system is in the eigenstate of o, having the largest eigenvalue. The expectation values (o,)(t).(0.)(+) and (o.)() (where o, are Pauli matrices) are respectively (a) sin at ,0, and cos (b) cos sin and 0 2 ot and sin 2 ,0 and sin 2 (c) 0,cos (d) -cos
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![Q28.
The Hamiltonian of a two-level system is given by H =
-hoo.. At time t=0 the system is in
the eigenstate of o, having the largest eigenvalue. The expectation values (0.)(:).(0.}(!) and
(o.)(1) (where o, are Pauli matrices) are respectively
ot
(a) sin
at
0, and cos
(b) cos
,sin
and 0
2
.0 and sin
2
(d) - cos
(c) 0, cos
and sin
Q9.
An electron of charge -e is decelerated at a constant rate from an initial velocity v, to rest o
a distance d (v, <<c). The energy lost to radiation is given by
Hoeʼv
(a)
67cd
Hoeʼv
(b)
3ncd
(c) cannot be determined from the information supplied
12ncd
Q11.
Consider the density matrix of a two level system given by
then
(a) The expectation value of the operator O, =(1)(2|+|2)(1) is
5h
h
(b) The expectation value of the operator O,
(1)(11-12)(21) is
6.
(c) The system is in a pure state
(d) (0,)=0, where O, =(1)(1\-|2)(2)
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Transcribed Image Text:Q28.
The Hamiltonian of a two-level system is given by H =
-hoo.. At time t=0 the system is in
the eigenstate of o, having the largest eigenvalue. The expectation values (0.)(:).(0.}(!) and
(o.)(1) (where o, are Pauli matrices) are respectively
ot
(a) sin
at
0, and cos
(b) cos
,sin
and 0
2
.0 and sin
2
(d) - cos
(c) 0, cos
and sin
Q9.
An electron of charge -e is decelerated at a constant rate from an initial velocity v, to rest o
a distance d (v, <<c). The energy lost to radiation is given by
Hoeʼv
(a)
67cd
Hoeʼv
(b)
3ncd
(c) cannot be determined from the information supplied
12ncd
Q11.
Consider the density matrix of a two level system given by
then
(a) The expectation value of the operator O, =(1)(2|+|2)(1) is
5h
h
(b) The expectation value of the operator O,
(1)(11-12)(21) is
6.
(c) The system is in a pure state
(d) (0,)=0, where O, =(1)(1\-|2)(2)
KINDLY ANSWER All
otherwise please leave the question...
Advance Physics
000
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