PAM is a legend
This guy was around for the Solvay conference in 1927. A good recounting of the history of quantum mechanics and the mathematics underlying.
Note: In this episode he explains the correspondence of the particle and the wave outlook in terms of the harmonic oscillator.
Research Links
Sequence of Events
So maybe the photon always goes through both slits at least somewhat?
He did not just invent the vacuum cleaner
When Richard Feynman left Cornell Freeman Dyson was asked to fill in for him and teach an advanced quantum mechanics class. His notes from that class have been made into a book and are available in pdf form.
The story behind the book is told in the video below. David Bohm taught Freeman Dyson QM.
Messenger Lecture series at Cornell
For the optical version see: Home Made Quantum Eraser Experiment Using Laser 2 Slits Polarizer Material
I wanted to think about this experiment in terms of RF components to see if there was anything new I could extract. In RF speak here is what happens.
Description I.T.O. Standard Radio Frequency Speak
With NO Eraser
With Eraser
Observation
It is easy to see why there is no interference in the first case. We have arranged for each path to be in orthogonal polarization states. They can not interfere when orthogonal.
Gates.
In a famous paper of 1936, the first work ever to introduce quantum logics,[28] von Neumann first proved that quantum mechanics requires a propositional calculus substantially different from all classical logics and rigorously isolated a new algebraic structure for quantum logics. The concept of creating a propositional calculus for quantum logic was first outlined in a short section in von Neumann's 1932 work. But in 1936, the need for the new propositional calculus was demonstrated through several proofs. For example, photons cannot pass through two successive filters which are polarized perpendicularly (e.g., one horizontally and the other vertically), and therefore, a fortiori, it cannot pass if a third filter polarized diagonally is added to the other two, either before or after them in the succession. But if the third filter is added in between the other two, the photons will indeed pass through. And this experimental fact is translatable into logic as the non-commutativity of conjunction 
. It was also demonstrated that the laws of distribution of classical logic, 
and 
, are not valid for quantum theory. The reason for this is that a quantum disjunction, unlike the case for classical disjunction, can be true even when both of the disjuncts are false and this is, in turn, attributable to the fact that it is frequently the case, in quantum mechanics, that a pair of alternatives are semantically determinate, while each of its members are necessarily indeterminate. This latter property can be illustrated by a simple example. Suppose we are dealing with particles (such as electrons) of semi-integral spin (angular momentum) for which there are only two possible values: positive or negative. Then, a principle of indetermination establishes that the spin, relative to two different directions (e.g., x and y) results in a pair of incompatible quantities. Suppose that the state ɸ of a certain electron verifies the proposition "the spin of the electron in the x direction is positive." By the principle of indeterminacy, the value of the spin in the direction y will be completely indeterminate for ɸ. Hence, ɸ can verify neither the proposition "the spin in the direction of y is positive" nor the proposition "the spin in the direction of y is negative." Nevertheless, the disjunction of the propositions "the spin in the direction of y is positive or the spin in the direction of y is negative" must be true for ɸ. In the case of distribution, it is therefore possible to have a situation in which 
, while 
.
Von Neumann proposes to replace classical logics, with a logic constructed in orthomodular lattices, (isomorphic to the lattice of subspaces of the Hilbert space of a given physical system).[29]
Research Links
Near the beginning of the video a crucial point is made. Either of 2 quantum bits by itself does not store any data. It is the correlation between the two bits that hold the data.
Do not forget to wear your quantum sockes.
The top diagram shows a collection of particles on the left side of a divider. If you imagine removing the divider the motion in aggregate is going to be described by a decaying exponential with a real term in the exponent.
The lower diagram shows the same setup with only one particle. Since we intend on looking at it in particular it is obvious that a decaying exponential will not be sufficient. Once the particle manages to travel from the left half of the divider to the right half of the divider it has the same level of chance to return to the left side. Thus it requires some sort of imaginary term in the exponential if we assume that diffusion still reigns as the mechanism of transport
In the Feynman lecture on physics there is a derivation of the Schrodinger wave equation that assumes difusion of the type in the second image.
