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Calculus in Dirac Notation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg101620] Calculus in Dirac Notation
  • From: "H.Z.Jooya" <h.z.jooya at gmail.com>
  • Date: Fri, 10 Jul 2009 23:26:53 -0400 (EDT)

Hi,

Calling "Quantum Notation"

Let

i : Imaginary Unit
h : Reduced Planck Constant
t : Time
PD : Partial Derivative Operator with respect to t
H : Operator

H = i h PD

f = < a[t] | H | b[t] >

J = Integrate [ f , { t, o , T} ]

I get an error when I am trying to get partial derivative of J with respect
to a[t] and b[t]

D[ J , a[t] ]   ------------ Results in ------------>   Integrate  [ | i h
b'[t] >  *zz080Bra'* [a[t]]  ,  { t , 0 , T } ]

I would be appreciated if you could let me have your advice that how I can
solve this problem.

Sincerely,

Jooya


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