Homework Statement
Using the eigenstates of x_op, show that the probability of finding a system described by a wavefunction Psi(x) at a position between a and a+da is given by lY(a)l^2da. Comment on a connection to initial motivation for a wave function from 2-slit interference pattern...
Homework Statement
Use the relativistic expression for energy E^2=p^2c^2+(m_0)^2(c)^4 to find a wave equations for photons. Find a solution for ψ and compare to the electric field (hint: photons are massless, E_op=ih(d/dt) and p_op=h/i(d/dx)
Homework Equations
the only equations i know...
Homework Statement
Starting from Schrodinger's Equation show that a complex potential energy V=α+iβ yields a time dependent probability P of finding the particle in (-inf,inf), i.e. the particle is unstable and normalization cannot be insured over time. Compute P(+)
Homework Equations...
Homework Statement
Compute the complex conjugate of <p> using eq 1.35 (<p>=∫ψ*(h/i)∂/∂x ψ dx) and prove that <p> is real (<p>=<p>*)
Homework Equations
equation 1.35 is given above
The Attempt at a Solution
to take the c.c. don't i just add a minus to the i and switch the stars like...
I solved it using the equation for centripetal acceleration a=v^2/r where v=2Pi*r/T
and got an acceleration of roughly 34 mm/s^2. he states that 52 is the actual amount so am i correct in assuming that I have done everything correct up to this point and the difference is due to the fact that...
Homework Statement
If a particle is projected vertically upward to a height h above the Earth's surface at a northern latitude θ, show that it strikes the ground at a point 4/3*ωcosθ*sqrt(8h^3/g) to the west. (Neglect air resistance and consider only small vertical heights.)
my initial...
Homework Statement
Determine how much greater the gravitational field strength, g, is at the pole than at the equator. Assume a spherical Earth. If the actual measured difference is Δg = 52 mm/s2, explain the difference.
Homework Equations
g=G*m1*m2/r^2
The Attempt at a Solution...
This isn't really a homework problem, I just need to know how to do a problem similar to this one for the final and I don't want to fail, so I posted it here.
The problem is:
Given the electric field for a plane wave in free space: E(r,t)=E1cos(wt-ky)k
a)what is the statement for w and ka...
This isn't really a homework problem, I just need to know how to do a problem similar to this one for the final and I don't want to fail, so I posted it here.
A solenoid with n turns per unit length, length l and radius a (l>>a) has a current I(t)==Io sin(wt) [w is omega], where I and w are...