Question

In: Physics

Consider a two level system interacting with a radiation field. Write down the differential equations defining...

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?

Solutions

Expert Solution

Please consider the solution:


Related Solutions

Write the second order differential equation as a system of two linear differential equations then solve...
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...
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...
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? ??/?? = ? +...
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...
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...
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...
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...
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...
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:...
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
ADVERTISEMENT