Quantum Mechanics Answers

find a general equation for energy difference between two consecutive
state for a particle confined within a potential width of a

Sketch the Eigen function of a particle confined in a box of width –a/2 to
a/2

A particle of mass m and energy E is moving in the potential

V(x,y,z)=0, z<0
V(x,y,z)=Vo, z0.

Assume E>Vo>0.
(a) It the particle is incident from z<0
perpendicular to the z-axis, what is the
probability that it will penetrate to z>0?

Assume E<Vo>0
(b)Measure tunneling probability in the above case?

The natural uncertainty in the measurement of speed of an electron in an atom is

estimated to be 2.2x10^4 m/s

A quantum particle confined to one-dimensional potential well of width ‘a’ is in its
first excited state. What is the probability of finding the particle over an interval of a/4
at the center of the box?

The ground state energy of an electron in an infinite well is 2.6 x 10^-3
eV. What will
be the ground state energy if the width of the well is doubled?

The natural uncertainty in the measurement of speed of an electron in an atom is
estimated to be 2.2x10^4 m/s conceding ideal set-up and error free measurement.

What is the maximum velocity (in m/s) of electrons ejected from a material by 66 nm photons if the work function of the material is 4.43 eV?

Consider a particle of mass m confined in an infinite 1-D potential well of width a;
V (x)=0 for 0 less or equal to x and x less than or equal to a,
V(x)=infinite otherwise
Find the eigenstates of the Hamiltonian and the corresponding eigen energies Using three possibilities considering the energy E,
E>0
E<0
E=0

Which of the following properties of light DOES NOT the wave nature of light
A. Diffraction
B. Interference
C. Reflection
D. Polarization
,Explain each property and explain why which one of them doesn't support