I realize this isn’t really the place to ask for this, but I’ve kind of hit a wall. I came into physics grad school intent on doing theory, and I’ve hit a brick wall in my first semester. I got B’s in Classical mechanics and Quantum mechanics, which looks really bad for trying to get into any...
From a heuristic standpoint it makes sense that when a system goes from being periodic to chaotic, the occupied volume of the phase space increases (while not violating liouville theorem). Since the volume of phase space is proportional if not equal to the entropy, shouldn’t entropy always...
I’ve seen the uncertainty principle used to calculate the ground state energy for things like hydrogen and the harmonic oscillator, but can this be done for the Yukawa potential where you have an exponential?
I've seen the partition function calculated for the SHO before in a thermodynamics course in order to calculate entropy. Is it possible to calculate it for a driven harmonic oscillator?
I thought that quartic oscillator is chaotic, but here
http://www.scholarpedia.org/article/Duffing_oscillator
it seems this is only when there is driving force.
It also says that for unforced quartic oscillator we can find equilibria and then determine if equilibria are stable or unstable...
Homework Statement
An electron is trapped in a finite potential well that is deep enough to allow the electron to exist in a state with n=4. How many points of (a) zero probability and (b) maximum probability does its matter wave have within the well?
Homework Equations
For infinite potential...
Homework Statement
A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting light at the proper wavelength of λ0=589 nm. Wavelength l is measured for that light by a detector fixed at the center of the circle. What is the wavelength shift λ-λ0?
Homework...
Homework Statement
A diffraction grating is made up of slits of width 300 nm with separation 900 nm. The grating is illuminated by monochromatic plane waves of wavelength l 600 nm at normal incidence. How many maxima are there in the full diffraction pattern?
Homework Equations
mλ = dsinθ
The...
For x-day diffraction maxima we have braggs law
2d*sinθ = mλ (maxima)
Is there an analogous law for the minima like
2d*sinθ = (m+1/2)λ (minima?)
Thanks!
so finishing this problem I have
I = (ε/R)e-t/RC --> ∫B⋅ds = μ0 (ε/R) e-t/RC. This leads to
B = μ0/(2πr) (ε/R) e-t/RC which for the time given leads to B = 2.34x10-12, but the correct answer is 8.4x10-13. Any ideas where I could be going wrong? The answer just uses B = μ0 id r / (2πR2) for the...
Ah I see. I was getting a different answer when I finished that line of reasoning but I just realized that it's because the magnetic field generated is supposed to be from the current ∫B⋅ds=μ0 Ienc rather than from a change in electric flux. This is kind of confusing to me because I thought that...
Homework Statement
The circuit in Fig. 32-31 consists of switch S, a 12.0 V ideal battery, a 20.0 M resistor, and an air-filled capacitor. The capacitor has parallel circular plates of radius 5.00 cm, separated by 3.00mm. At time t=0, switch S is
closed to begin charging the capacitor. The...