Extract the radial part of the Schrodinger. wave equation in
spherical coordinates for a hydrogen like atom. Use the methods of
eigenvalues. Plot the results with the radial wave function as a
function of the distance from the nucleus r.
What is radial symmetry? Which animal taxa are radially
symmetric? How might radial symmetry be advantageous to these types
of organisms? What is bilateral symmetry, who has it, and what
advantages does it convey to those animals? How do sponges fit in
to all this?
Separate the wave equation in two-dimensional rectangular
coordinates x, y. Consider a rectangular membrane, rigidly attache
to supports along its sides, such that a ≤ x ≤ 0 and b ≤ y ≤ 0.
Find the solution, including the specification of the
characteristic frequencies of the membrane oscillations. In the
case of a = b, show that two or more modes of vibration correspond
to a single frequency
1. Explain the difference between linear, radial, and angular
acceleration and identify which "G" force vector is most
significant in normal aircraft flight.
Draw the following orbitals according to the radial and angular
variations of the wavefunction, including phases. Indicate the
number of both radial and angular nodes for each orbital. Add axes,
if appropriate.
a) 4px b) 6s c) 6dxz d)
5fz3
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
1. Solve Schroedinger's equation for the hydrogen atom and
discuss the radial wave function.
2. Obtain ground state wave functions for hydrogen atom using
Schroedinger's equation. Also calculate the most probable distance
of electron from nucleus.
The spiral of Archimedes is a curve described in polar
coordinates by the equation ?? = ???? where ?? is the distance of a
point from the origin, and ?? is the angle of the point in radians
with respect to the positive x-axis. Write an m-file to create a
plot of the spiral of Archimedes using 1000 points for 0 ? ?? ? 6??
?????? when k = 0.5. Be sure to include a title, axis labels, and
grid...
Write brief but complete answers to the following questions
a) Write Schrodinger's time-independent,1-D equation
b) What does this equation represent?
c) What requirements must the wave equation satisfy?
d) What are the conditions for an acceptable solution to this
equation?