Archive for March, 2011
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 [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Wednesday, March 23, 2011 4:27 AM Author: metric345 Subject: 177(2): Zero’th Force Eigenvalue of the Harmonic Oscillator The new force equation of quantum mechanics is eq, (1), and the harmonic oscillator gives a zero point force eigenvalue: F sub 0 = – k x This is the classical result [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Tuesday, March 22, 2011 6:44 AM Author: metric345 Subject: Final Version of UFT 176 This is the final version of UFT incorporating a new result in eq. (13): F psi = E d psi / dx a176thpaper.pdf View article&#[ READ MORE ]
Feed: Dr. Myron Evans Posted on: Friday, March 18, 2011 1:05 PM Author: metric345 Subject: Pure Quantum Version of Eq. (21) of UFT 176 This is as follows: partial (H hat psi) / partial x = i h bar d (partial psi / partial x) / dt with H hat psi = H psi = [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Thursday, March 10, 2011 8:12 AM Author: metric345 Subject: 176(1): Quantum Hamilton Equations for Planar Rotation These are the quantum Hamilton equations for planar rotation. Once the hamiltonian is defined the equations of motion follow in such a way that x and p or phi and p sub phi [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Thursday, March 10, 2011 3:18 AM Author: metric345 Subject: note 175(15) To Dr. Horst Eckardt: Thanks for going through the calculations. As can be seen from page 2 of note 175(14), left hand column, I followed Peter Atkins, “Molecular Quantum Mechanics”, in doing this calculation, applying the Leibniz Theorem [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Monday, March 07, 2011 6:47 AM Author: metric345 Subject: Plans for Opening Chapter of “The Fermion Equation” To open the book a detailed derivation will be given of the Lorentz transform, based on previous notes, because this transform defines the relativistic momentum which is the Einstein energy equation. The [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Monday, March 07, 2011 2:41 AM Author: metric345 Subject: The Quantum Hamilton Equations To Dr. Horst Eckardt: Thanks as usual for going through this note. I will give the final proof with more detail in the next note. I followed Atkins in the definition of hermiticity, his eqs. (5.2.1) [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Sunday, March 06, 2011 5:46 AM Author: metric345 Subject: The Second Hamilton Equation of Motion in Quantum Mechanics This is derived using the tautology d<p> / dp = 0, and the proof will be given in the next note before finally discussing the effect of relativity on the Heisenberg [ READ MORE ]
Feed: Dr. Myron Evans Posted on: Sunday, March 06, 2011 5:30 AM Author: metric345 Subject: 175(14): A New Equation of Motion of Quantum Mechanics This is Eq. (9) of the attached note, and produces the quantum equivalent of one of Hamilton’s equations of motion, Eq. (22). The Schroedinger postulate is derived for the first time [ READ MORE ]
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