176(1): Quantum Hamilton Equations for Planar Rotation

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 are independent variables:

dx / dp = dp / dx = 0

In lagrangian dynamics, q and q dot are not independent variables as is well known.The classical Hamilton dynamics have well known advantages and all of these advantages hold for the newly discovered quantum Hamilton equations. So I will devote some time to their systematic development. Note carefully that the first QHE (eq, (4)) of the attached, and the second QHE, hold for any operator with property

A hat psi = A psi

an important special case is the hamiltonian operator:

H hat psi = H psi

i.e. the equations hold for any operator A hat of quantum mechanics and are therefore completely general in applicability.

a176thpapernotes1.pdf

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