## Pseudo-Quantum Mechanical description of Birthday wishes

This is what 3 years of Physics can do to you:

9:56 PM Naveen: why the deja vu suddenly?

me: What is the deja vu?

Torus and 16D compact manifold?

Naveen: yeah

remembering something that had happened in the past

9:57 PM actually it is slightly different

9:58 PM but sounds pseud all the same, so used it :)

me: Ah, okay

I understand.

Nothing, generally

Naveen: oh :)

ok

me: exp( -i H (-2:03:00) / \hbar ) | Happy Birthday >

9:59 PM Naveen: :D

exp( -i H (-2:04:00) / \hbar ) | Thank You >

10:01 PM me: \hat{B} | Naveen >

Oops

10:02 PM exp( -i H (-2:03:00 ) / \hbar ) \hat{B} |Naveen>

Where \hat{B} is the bumping operator

Naveen: he he :D

10:03 PM exp( -i H (-2:03:00 ) / \hbar ) \hat{R} |Naveen>

where \hat{R} is the run operator

ooops

exp( -i H (-2:03:00 + \epsilon ) / \hbar ) \hat{R} |Naveen>

aiyyo,

exp( -i H (-2:03:00 - \epsilon ) / \hbar ) \hat{R} |Naveen>

10:07 PM me: exp( -i H (-2:00:00 ) ) exp ( \alpha a\dagger - \alpha*a ) |Akarsh>

10:08 PM Where \alpha is chosen so that my probability distribution shifts right in front of where you will be standing after the time delay

[BTW, the time is decreasing because the time to 12:00 midnight is decreasing]

[You should use that appropriately, at least to some approximation]

10:12 PM me: BTW the exp ( \alpha... ) stuff is called the Displacement operator

And it is the operator that performs phase space translations

Naveen: ah... nice

10:13 PM me: /me enjoys the power of quantum operators that can teleport him

|Akarsh>|Naveen>

Now I've switched to the interaction basis. I shall soon apply the bumping operator

10:14 PM Naveen: let us see

10:15 PM exp( -i H (-2:03:00 ) ) exp ( -\alpha a\dagger + \alpha*a ) |Akarsh>

oops

exp( -i H (-2:03:00 ) ) exp ( -\alpha a\dagger + \alpha*a ) |Naveen>

10:16 PM what will you do now

and

10:17 PM me: Oh no.

I shall delocalize myself by squeezing myself in the p quadrature

S|Akarsh>

10:18 PM Where S is the squeezing operator, chosen so that it makes \Delta p very small

Naveen: |lightcone> = exp( -i H (00:00:28 ) ) exp ( -2\alpha a\dagger + 2\alpha*a ) |kstar>

me: Now wherever you run, you can't escape.

[Please add appropriate time evolution operators]

Naveen: |lightcone> = exp( -i H (00:00:28 ) ) exp ( -2\alpha a\dagger + 2\alpha*a ) |kstar>

10:19 PM me: Look - I'm delocalized now.

That won't save you

10:20 PM Naveen: S^{-1} |lightcone> = exp( -i H (00:00:28 ) ) exp ( -2\alpha a\dagger + 2\alpha*a ) |kstar>

10:21 PM what do you say for that?

me: Wait, how does that help?

10:22 PM Ah... ok, you're delocalizing yourself as well

Naveen: yeah

:P

me: But that won't help, because I can still interact with you

Naveen: but not effectively

me: Both of us are delocalized, so there's a LOT of overlap

Doesn't matter

Enough for me to apply bumping operator

Naveen: no effective overlap

PS|kstar>

10:23 PM me: ^^ What are PS?

10:24 PM Naveen: P_{z}S^{-1}|lightcone>

where P is the projection on the x-y plane

and P_{z} is the projection on the z axis

10:25 PM then you will be smeared on the x-y plane

and I will be stretched on to the z-axis

and there will be only one point of overlap

and you cant fit your foot(that too delocalized :P) into a point

10:26 PM me: Hmm

Look, you don't have rights to operate on my wavefunction

It's mine. I choose to do what I want with my state.

10:27 PM You have right over your state.

If you want to collapse onto the X-Y plane, you're welcome to do that - but you shouldn't be doing that to me.

You can at most produce a field which would force me to apply a certain operator on my state

10:28 PM Naveen: basically, I didnt say anything about the time evolution operators

me: Eh?

Naveen: I will do that when we interact

then I will have some effect on you

10:29 PM remember that \epsilon ?

that is why that was there

so that I can have some control over your wavefunction

me: Hmm, I don't understand.

Okay, let me withdraw from the game

10:30 PM Naveen: ok...

me: a|kstar>

## lightcone 10:59 pm

onFebruary 27, 2009 Permalink | Log in to ReplyAtleast one doesn’t end up on a chaotic trajectory after three years in

~~EE~~EP. 😛 Physics is fun 🙂## C Pro 11:01 pm

onFebruary 27, 2009 Permalink | Log in to ReplyEnna Koduma Akarsh idhu..:P..

## Chiquita 8:22 pm

onMarch 3, 2009 Permalink | Log in to ReplyFirst blog I read after wakeup from sleep today!

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Are you tension? panic?