Description
Authorhouse Nearly Periodic Matrix Operators For Physics by Clifford E. Morgan
The First Seven Chapters Of The Book Build A Case Of The Validity Of Certain Matrix Operators In Theoretical Physics. A Simple, Generalized Lorentz Transformation, That Yields Correct Results In Every Case And Leads To A Generalized Relativistic Velocity Vector Addition Rule, Was Discovered. The Addition Rule Leads, In Its Turn, To An Electron Spin Model With The Correct Gyromagnetic Ratio. A Differential Matrix, D*1, When Multiplied Into The Electromagnetic Vector Potential, Yields The Electromagnetic Fields, Ie +B . The Complex Conjugate, D1, Operating On These Same Fields Gives The Complete Set Of Maxwell'S Equations In Essentially One Step. Operation Again With D*1 On The Maxwell Equations Or On The Charge-Current Density 4-Vector Yields The Charge-Current Density Conservation Law In 4 Dimensional Form, And So On. Finally, The Tour De Force Of Electromagnetism Is Completed By The Surprising Result That Arbitrary Motion Of A Charge Automatically Produces E-M Fields With Zero Time Components. Operation Of The D*1 Matrix On The Energy-Momentum Vector Yields The Schroedinger Operators For Energy And Momentum. The Dot Product Of The Lorentz Transformed Position Vector Of A Particle With A Suitable Propagation Vector Yields An Argument For A Wavefunction That Can Be Localized Or Not Localized To Any Reasonable Degree And Has Both Explicit Group And Phase Velocities, A Purely Oscillatory Part, And A Spin Part. Other Results Are As Follows: Dirac Matrices Are Found To Be Nearly Periodic Matrices Also. Derivations Of Two Of Hamilton'S Canonical Equations Are Obtained By Operation With A D Matrix, Constructed From Derivatives With Respect To The Generalized Coordinates Or The Canonical Momenta, On The Energy-Momentum Vector. Finally, A Surprising Result, Which Is Not Yet Completely Substantiated And Bears On The Effects Of Gravitational Forces, Appears. It May Be That Space Curvature Is Not Necessary For Gravitation.