quantum ii (phys 4410) lecture 4 spin ½ continued. hwk 1 is due online at d2l by 5pm tomorrow. hwk...
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Quantum II (PHYS 4410)Lecture 4
Spin ½ continued.
HWK 1 is due online at D2L by 5PM tomorrow.HWK 2 is due Wed. next week.
Physics Colloquium 4PM Today: Duane G1B20
Prof. Harry Nelson. Univ. of Calif. Santa Barbara“Light from Dark”
Consider three functions f(x) , g(y), and h(z) which obey the equation:f(x) + g(y) + h(z) = C = constant. How many of the functions must be constant?
A) f, g, and h must all be constants. B) One of f, g, and h, must be a
constant.C) Two of f, g, and h must be
constants.81
If H is a sum, Y is a product.
You have two spins, so you create a new hermitian operator:
( )total electron protonZ Z ZS S S
Therefore, you expect that the eigen vectors of this hermitian operator are:
A) A sum of the electron and proton eigen vectors.B) A product of the ele. and prot. Eigen vectors.C) Something else
You have two spin ½ objects and consider the sum of their z-components of spin:
( )total electron protonZ Z ZS S S
What is the maximum value you expect for the quantum number mtotal
A) ½B) 0C) 1D) 2E) Something else.
150
Suppose we represent a qubit so that:
What is the appropriate matrix operator for NOT?
A) B) C)
D) E) None of these
11
0
1 0
0 1
00
1
and
1 0
0 1
0 1
1 0
1 1
1 1
150
Given a qubit in a superposition state:
What is the effect of operating with NOT?
A) B) C)
D) E) None of these
a
b
1
0
b
a
a
b
0
1
What about (NOT) (NOT) ?
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