January 29, 2007

• trying something new, and bold.

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

  quantum particles have more freedom
  than their classic counterparts and

  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 mono-kinetic Euclidean

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

  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

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

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

  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 continuum limit [less]

  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

  • 4:31 pm
  • 1 Comment