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Quantum Mechanics
The quantum mechanical wave function for a particle is given by
Ax^3/2 e^-ax, x>0
ψ (x)= {
0 , x<0
Determine (i) the normalization constant A and (ii) the most probable positio
Ax^3/2 e^-ax, x>0
ψ (x)= {
0 , x<0
Determine (i) the normalization constant A and (ii) the most probable positio
Quantum Mechanics
A spin 1/2 particle in a uniform magnetic field has energy eigenstates |1⟩ and |2⟩. The system is prepared in a ket state
(|1⟩+|2⟩)√2 at time t=0. It evolves to the state
( |1⟩− |2⟩)√2 in time T. What is the minimum energy difference between two levels?
(|1⟩+|2⟩)√2 at time t=0. It evolves to the state
( |1⟩− |2⟩)√2 in time T. What is the minimum energy difference between two levels?
Quantum Mechanics
A spin 1/2 particle in a uniform magnetic field has energy eigenstates |1⟩ and |2⟩. The system is prepared in a ket state
(|1⟩+|2⟩)√2 at time t=0. It evolves to the state
( |1⟩− |2⟩)√2 in time T. What is the minimum energy difference between two levels?
(|1⟩+|2⟩)√2 at time t=0. It evolves to the state
( |1⟩− |2⟩)√2 in time T. What is the minimum energy difference between two levels?
Quantum Mechanics
How can i find this fornula
3x2(3yz)9H
It is a speed formula
3x2(3yz)9H
It is a speed formula
Quantum Mechanics
The one-dimensional time-independent Schrödinger equation is
.
a/ A particle of mass m is contained in a one-dimensional box of width a. The potential energy U(x) is infinite at the walls of the box (x = 0 and x = a) and zero in between (0 < x < a).
Show that the solutions have the form: U(x)=Csin(n.pi.x/a) . Find the constant C.
b/ For the case n = 3, find the probability that the particle will be located in the region a/3 <x< 2a/3
.
c/ Sketch the wave-functions and the corresponding probability density distributions for the cases n = 1, 2 and 3.
.
a/ A particle of mass m is contained in a one-dimensional box of width a. The potential energy U(x) is infinite at the walls of the box (x = 0 and x = a) and zero in between (0 < x < a).
Show that the solutions have the form: U(x)=Csin(n.pi.x/a) . Find the constant C.
b/ For the case n = 3, find the probability that the particle will be located in the region a/3 <x< 2a/3
.
c/ Sketch the wave-functions and the corresponding probability density distributions for the cases n = 1, 2 and 3.
Quantum Mechanics
Light with a wavelength of 5.0 · 10-7 m strikes a surface that requires 2.0 ev to eject an electron
Quantum Mechanics
Near the shore, winds tend to blow out toward the water at night. What drives this process?
Quantum Mechanics
Q. A particle is confined between rigid walls by a distance L.
(a) Show that the probability P that it will be found within a distance L/3 from one wall is given by
P=1/3[1-sin〖2nπ/3〗/(2nπ/3)]
(b) Evaluate probability for (i) n=1, (ii) n=2, (iii) n=3
(a) Show that the probability P that it will be found within a distance L/3 from one wall is given by
P=1/3[1-sin〖2nπ/3〗/(2nπ/3)]
(b) Evaluate probability for (i) n=1, (ii) n=2, (iii) n=3
Quantum Mechanics
Assuming Heisenberg Uncertainty Principle to be true what could be the minimum uncertainty in de-Broglie wavelength of a moving electron accelerated by potential difference of 6 Volts whose uncertainty in position is n.m.
Quantum Mechanics
A 55kg woman bungee jumps from a bridge and reaches a maximum velocity of 24.2m/s. The bridge is 60m above the water. When the woman is at the bottom of her trajectory, she is 9 m above the water.
What is the spring constant of the bungee cord?
What is the spring constant of the bungee cord?
