February 2, 2007

• bbbrrrrrr…

  freyman’s integral pathway (p,q) = e-1/4 (p+q2)?[(q+ip)/ 2]/ n!

  it is the incoherent super-position
  of different integral faiths that
  destructively interferes with the
  language of quantum mechanics

  often one encounters integrals
  where the exponent is not purely quadratic
  from the outset but rather contains
  both quadratic and linear pieces

  to prove this identity
  eliminate the linear term
  the constant factor scales a-z
  yet quantum mechanics remains
  fully present and flexible

  [we] insert position and momentum
  respectively making use of
  the clear rationale behind
  the resolution of vector identity

  quantum particles have more freedom
  than their classic counterparts

  all the information about any
  autonomous quantum particles
  is contained within the matrix
  of elements of its time evolution operator

  the time evolution operator
  describes this dynamic evolution
  under the influence of
  Hamiltonian time

  H = T + V or H = E + R

  where R is a positive definite
  real symmetric n-dimensional matrix
  and V is a real vector diagonalized by
  orthogonal transformation into
  E, a mono-kinetic Euclidean

  as the matrix elements express
  amplitude for a particle to
  propagate between points
  it becomes the propagator
  of harmonic oscillation

  in the matrix of elements
  the discrete set becomes dense
  over time and space becomes
  a continuous curve

  this smooth variation of paths
  contributes significantly toward
  the motivation and the application
  of a limit [less] continuum

  proving that u and i may be
  independent complex numbers that
  need not be related by the
  simple conjugation of coherent states and paths integral

  only by love.

  copyright JANEisnotplain 1.07

  • 5:36 pm
  • 1 Comment