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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
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?
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?
How can i find this fornula
3x2(3yz)9H
It is a speed formula
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.
Light with a wavelength of 5.0 · 10-7 m strikes a surface that requires 2.0 ev to eject an electron
Near the shore, winds tend to blow out toward the water at night. What drives this process?
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
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.
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?