In: Physics

Consider a two level system interacting with a radiation field.
Write down the differential equations defining the Einstein
**A** and **B** coefficients.
*Define all terms in your equations.*

a. Solve for the time varying upper state population density for the case of no external radiation present.

b. In steady state, solve for the photon energy density.

c. What other concept is required to predict the possibility of laser action?

Write the second order differential equation as a system of two
linear differential equations then solve it.
y" + y' - 6y = e^-3t y(0) =0 y'(0)=0

Write down your own verbal description for a dynamical system,
and write down the equations for the dynamical system. (It is fine
if this system is very simple! It is also fine if the scenario is
not very realistic, as long as the equations match the
description!)

Write down Maxwell’s equations in differential and integral form
and explain the physics behind each one of them. Modify one of them
to account for the existence of magnetic monopoles.

Solve the given system of differential equations. ??/?? = ? + 4?
??/?? = ? + y

Write down an augmented matrix in reduced form corresponding to
a system with 3 equations and 5 variables which has infinitely many
solutions and 2 free variables.
Write down an augmented matrix in reduced form corresponding to
a system with 4 equations and 5 variables which has no solutions
and 2 free variables.

Write down Maxwell’s Equations (integral notation). Write down a
modified version of Maxwell’s Equations that includes magnetic
monopoles. Use the symbol qm for magnetic change and J for magnetic
current. Hint: Think of symmetry and units.

Write down three examples on homogeneous linear second order
differential equations and put them into self-adjoint form.

Write down three examples on homogeneous linear second order
differential equations and put them into self-adjoint form.

9. For the differential equation: ?′′ + 2?′ + 5? = ?(?)
(a) Write down the auxiliary polynomial associated to this
differential equation and find the roots of the auxiliary
polynomial.
(b) Find a basis for the real solution set of the associated
homogeneous differential equation ?′′ + 2?′ + 5? = 0.
(c) For each ?(?) that follows, write down the trial particular
solution to ?′′ + 2?′ + 5? = ?(?), with undetermined coefficients.
Do NOT solve the...

A system of differential equations solved by the Laplace
transform has led to the following system:
(s-3) X(s) +6Y(s) = 3/s
X(s) + (s-8)Y(s) = 0
Obtain the subsidiary equations and then apply the inverse
transform to determine x (1)

ADVERTISEMENT

ADVERTISEMENT

Latest Questions

- Waiters, Inc. has been manufacturing 10,000 units of part 2050 per month, which is used in...
- Write the thesis proposal in "Effec of CSR on financial performance of companies "?
- Your company is considering the purchase of a fleet of cars for $200,000. It can borrow...
- A 0.30-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.20-kg...
- Types and techniques of validation controls. It mentions that there are six validation controls: five validators...
- Discuss with your classmates if there exist potentials for individual ideologies ( language, culture, values, politics...
- Problem 3 (36 Pts) The steel pipe is 0.5 m long and has an internal diameter...

ADVERTISEMENT