Find an expression for the Hamiltonian, the Green's Function in
Electrodynamics and the time independent Schrodinger...
Find an expression for the Hamiltonian, the Green's Function in
Electrodynamics and the time independent Schrodinger Equation.
Derive a force equation from each one
Find the Green's function for each of the following problem, and
determine
the solution of each of the following boundary-value problem:
y" + 4y = e^x
y(0) = 0
y'(1) = 0
Determine the Time-Dependent Schrodinger Equation (TDSE) from
the classical non-relativistic expression for the energy of a
particle and de Broglie’s claim that all particles can be
represented as waves. (Important: Describe as much as possible and
must use your own words to explain it.)
1. A particle satisfying the time-independent
Schrodinger equation must have
a) an eigenfunction that is normalized.
b) a potential energy that is independent of location.
c) a de Broglie wavelength that is independent of location
d) a total energy that is independent of location.
Correct answer is C but I need detailed explanation
also explain each point why they are false
Suppose a solution to the time independent Schrodinger equation
is multiplied by exp(-iEt/h-bar), thus making it a solution to the
time dependent Schrodinger equation. Will the product still be a
solution to the time independent equation?
Calculation of half-life for alpha emission using
time-independent
Schrodinger Equation using the following following
information:
Radionuclide: 241-Am (Z=95); Ea = 5.49 MeV; Measured
Half-Life~432y
Follow the steps involved and show your work for each subset
question, not the
final answer:
(a) Evaluate the well radius [=separation distance (r) between the
center of
the alpha particle as it abuts the recoil nucleus];
(b) Evaluate the coulomb barrier potential energy (U) for the
well;
(c) Estimate the separation distance (r*) from the...
(a) The one-dimensional time-independent Schrodinger equation
is
-(h-bar2/2m)(d2?(x)/dx2) +
U(x)?(x) = E?(x)
Give the meanings of the symbols in this equation.
(b) 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). Solve
the Schrodinger equation for this particle and hence show that the
normalized solutions have the...