Calculus in Dirac Notation

• To: mathgroup at smc.vnet.net
• Subject: [mg101748] Calculus in Dirac Notation
• From: "H.Z.Jooya" <h.z.jooya at gmail.com>
• Date: Thu, 16 Jul 2009 08:17:14 -0400 (EDT)
• References: <2e41d2490907100932i186d8385p3f115e244d6efe3e@mail.gmail.com>

```Hi,

Does anybody knows if Quantum Noatation (by Jos=E9 Luis G=F3mez-Mu=F1oz
http://homepage.cem.itesm.mx/lgomez/  )
works properly with Mathematica 6.0.

I know that it has been developed for Mathematica 7.0. But I am using
Mathematica 6  and I have the following problem. I am not sure that
switching to Mathematica 7 would solve the problem?

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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