For the harmonic oscillator, briefly describe how the
eigenvalues relate to the system being under-, critically-,...
For the harmonic oscillator, briefly describe how the
eigenvalues relate to the system being under-, critically-, or
over-damped? Draw a sketch that relates the time course of
solutions to the eigenvalues.
Quantum Mechanics
Determine the settlement approach (approximation) for the
harmonic oscillator system due to the relativistic term using the
perturbation method in order 2 correction.
1. (a) Describe in your own words and mathematically the
harmonic oscillator approximation to molecular vibration. (b) What
does this approximation lack in terms of representing real
molecular bonds? (c) When is the approximation most valid and when
are higher order approximations necessary?
Consider a system of three non-interacting particles confined by a
one-dimensional harmonic oscillator potential and in thermal
equilibrium with a total energy of 7/2 ħw.
(a) what are the possible occupation numbers for this system
if the particles are bosons.
(b) what is the most probable energy for a boson picked at
random from this system.
2. For a system of non-interacting, one-dimensional,
distinguishable classical particles in a harmonic oscillator
potential, V = kx2 in contact with a particle
reservoir with chemical potential µ and a thermal
reservoir at temperature T.
(a) Calculate the grand partition function Z for the system.
Note that there is no fixed "volume" for this system.
(b) Obtain N (number of particles) and U as functions of µ and T
and show that U satisfies the equipartition theorem
Briefly describe Boyle’s, Dalton’s, and Henry’s laws as they
relate to respiration. Give an example how each law can used to
explain some alterations in respiratory function.
3. Briefly describe the
sequences of psychological and cognitive stages during childhood
and how they relate to a child’s understanding of death.
4. How does the
adolescent sense of invulnerability relate to the concept of
personal death?
5. Identify and define
three theoretical perspectives on socialization, and discuss how
they apply to learning about death.
6. What are some of the
messages or themes communicated in lullabies?
7. Why is sensitivity
to other cultural groups important?
8. How might cultural
diversity increase anxiety about death related...
These questions relate to: Prime Editing
1. Describe (briefly) the scientific principle behind
how the technology works. This may be complex and the goal here is
to not get bogged down in so much detail that this becomes
incomprehensible.
2. What was the basic research which made this
possible?
3. Can you find any information from
patents?
1 briefly discuss alternative economic system how are resources
allocated under each system?
2 what is agricultural economic? what are the main economic
sector of agriculture? what is accomplished
3 what is indifference curve? what is inferred by an outward
shift of the curve? what do the slope and curve? what do the slope
and the curvature of an indifference curve imply?