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Quantum Mechanics
Question 4. Suppose a particle is in an eigenstate of L^2 and Lx with (l, mx) = (1, −1).
(a) What are the possible results of a measurement of Lz and with what probabilities?
(b) Construct the spatial Wave-function corresponding to |l = 1, mx = −1>
(a) What are the possible results of a measurement of Lz and with what probabilities?
(b) Construct the spatial Wave-function corresponding to |l = 1, mx = −1>
Quantum Mechanics
Question 4. Suppose a particle is in an eigenstate of L^2 and Lx with (l, mx) = (1, −1).
(a) What are the possible results of a measurement of Lz and with what probabilities?
(b) Construct the spatial Wave-function corresponding to |l = 1, mx = −1>
(a) What are the possible results of a measurement of Lz and with what probabilities?
(b) Construct the spatial Wave-function corresponding to |l = 1, mx = −1>
Quantum Mechanics
Question 1. A system is found in the state:
Ψ(r, θ, φ) = A(r) cos(θ) sin(θ) cos(φ)
(a) What are the possible values of a measurement of Lz? What are the associated probabilities?
(b) What is <Lz> in this state?
(c) What is <Lx> in this state?
Ψ(r, θ, φ) = A(r) cos(θ) sin(θ) cos(φ)
(a) What are the possible values of a measurement of Lz? What are the associated probabilities?
(b) What is <Lz> in this state?
(c) What is <Lx> in this state?
Quantum Mechanics
a freight train moving at an initial speed of 40 m/sec puts on its brakes, producing a deceleration of 0.50 m/sec. a. how long will it take thw train to travel next 100 m ? b. at what speed will it be traveling at the end of this 100 m ?
Quantum Mechanics
In the fission of a part of uranium there is loss in mass of 0.5g. How many kilo-watt hour energy will be obtained ?
Quantum Mechanics
The eigenvalues and eigenfunctions of a quantum mechanical operator A are denoted
by an and ψn,respectively. If f(x) denotes a function that can be expanded in the
powers of x, show that:
f (A)ψ n = f (an)ψ n
by an and ψn,respectively. If f(x) denotes a function that can be expanded in the
powers of x, show that:
f (A)ψ n = f (an)ψ n
Quantum Mechanics
Classify the following particles as Baryons, Mesons and Leptons: µ, νe , e, Σ+ , Λ, p, K+, η0, π+ , π−
Quantum Mechanics
The quantum mechanical wave function for a particle is given by
ψ =
−α
0 , 0
( ) 2 , 0
3
x x
A x e
x
x
.
Determine (i) the normalization constant A and (ii) the most probable position of the
particle.
ψ =
−α
0 , 0
( ) 2 , 0
3
x x
A x e
x
x
.
Determine (i) the normalization constant A and (ii) the most probable position of the
particle.
Quantum Mechanics
mathematical equation that shows the relationship among energy, wavelength, and speed of light and give me the name of this equation.
Quantum Mechanics
a) what is simple quantum mechanics?
b) what is wave function?
b) what is wave function?
