130_notes.dvi

Sinceλ=h/p=h/Ein our fine units, λ′−λ= h m (1−cosθ). We now apply the speed of light to make the units come out to be a length. ...

Lets compare the above SI units numbers to my suggested method of using the fine structure constant...Putting in the alpha charg ...

3 Diffraction Feynman Lectures, Volume III, Chapter I. Gasciorawicz does not really this. Rohlf Chapters 5 Griffiths doesn’t cov ...

d sinθ d laser θ EM waves of wavelengthλare emitted from a single light-source, like a laser. They travel to two narrow slits, ( ...

the distance traveled by two waves differs byλ/2, so thewaves are 180 degrees out of phase and the fields from the two slits can ...

3.2 Single Slit Diffraction There are many other examples of diffraction. The picture below shows diffraction from a single slit ...

Diffraction from crystals is a powerful tool. First we seex-ray diffraction from a single Sodium Crystalwhich has periodic locat ...

Another example of diffraction is shown below. Hereneutrons diffract from a single Sodium crystal. ...

3.4 The DeBroglie Wavelength The Lorentz transformation had been postulated for ElectroMagnetic waves before Einstein devel- ope ...

Its already easy to see that the phase in a wave like ei(~p·~x−Et)/h ̄ is Lorentz invariant. To read off the wavelength, lets pi ...

(IfT <<< mc^2 , make sure theprecisionof your calculator sufficient or use the non-relativistic method below.) If you k ...

Now lets turn down the intensity of the light source. For very low intensity I find that my detector collectsone photon at a tim ...

We use our detector to measure the diffraction pattern similar to the one for photons labeledP 12 below. If wecover up slit 2we ...

What distribution do we see now? Actually we will seeP 1 +P 2 if we can tell which slit the electron went through. Ourobservatio ...

No matter what distance between the slits we choose, wenever observe diffractionfor the bullets. They always give theP 1 +P 2 pa ...

3.7 Sample Test Problems What is the deBroglie wavelength of an electron with 13.6 eV of kinetic energy? What is the deBroglie ...

4 The Solution: Probability Amplitudes ForEM waves, the intensity, and hence the probability to find a photon, is proportional t ...

Griffiths 1.2, 1.3 Cohen-Tannoudji et al. Chapter 4.1 Derivations and Computations 4.1.1 Review of Complex Numbers This is a sim ...

Similarly the phase goes through 2πin one periodτin time. ωτ= 2π ωis the angular frequency. It changes by 2πevery cycle. The fre ...

5 Wave Packets Gasiorowicz Chapter 2 Rohlf Chapters 5 Griffiths Chapter 2 Cohen-Tannoudji et al. Chapter 5.1 Building a Localize ...