## The Hamiltonian and Quantum Mechanics

**Feed:** Dr. Myron Evans

**Posted on:** Monday, March 28, 2011 11:32 PM

**Author:** metric345

**Subject:** The Hamiltonian and Quantum Mechanics

Quantum mechanics derives directly from the hamiltonian of Rowan Hamilton:
H = T + V = E This gives H hat psi = E psi which is Schroedinger’s equation with the axiom p hat psi = – i h bar partial psi / partial x where psi is a function operated upon by p hat. So T hat psi = – h bar squared / (2m) partial sup 2 psi / partial t squared so H hat psi = (T hat + V) psi = E psi where T hat is a second partial differential and V and E simply multiply psi. I am not sure how many students really understand this. My Ph. D. supervisor admitted that he did not, after many years of lecturing on it. So how could his students have really understood it? The new quantum Hamilton equations and new force equation go much deeper than Schroedinger and Heisenberg ever did. So there is plenty of scope for grant applications just on UFT 176 and 177 alone, never mind all the other work going back to 1973. That is if you are minded in that way. There is nothing wrong with making grant applications, but I am basically a problem solver and it is essential to work almost full time on that in order to make real progress. So grant money to AIAS (as it fully deserves) must come in via organization of fund applications by other members of AIAS. Grant money in science usually comes in for fashionable trends – just as in any walk of life. |