### Do you have a little time for QM?

Assalamualaikum,

Do you have a little time for QM?

Ok, please say, Bismillah.

There are some conceptual things that you should know

I think by now you have heard some stuff about Particle-Wave duality

Now tell me your idea about that

Ok, tell me an example of the particle nature of light

It is so common

Reflection

Have you seen any experiment in which we observe the momentum of light?

http://en.wikipedia.org/wiki/Compton_scattering

Now let's focus on real issues

The fact is that this Particle-wave dualty is some how nonsense

It is not true to say that the nature of light is particles or waves

Light is light

Some times we use the Particle Model

Some times we use the wave model

As I told you it is just a model

Physicst try to apply it

So far it was quite a useful model

What is it about?

You know physicist main job is to predict future

In classical mechanics we do it using newton equations

a=F/a

a=F/m

If you have F then you have the second derivative of your particle

And from it you compute Velocity and then Position at a later time

Now here you have the schrodinger equation

But it talks about first derivative

And it is alos a complex values function

You have psi

which is your wave

Wave here is only a model

nothing more nothing less

d psi / dt is related to laplacian of psi

Ok, do you know what is the H operator?

The hamiltonian operator?

Its simply on operator which gives you the energy of your wave

See,

In quantum Mechanics we have a model named WAVE

But some times we need to MEASURE it

For MEASURING it we use OPERATORS

So every Measurement is an Operator and Vice Versa

Yes even measurments in laboratory are Operators

Please don't be confused and don't forget that it is all definitions

Reality is just out there

We should have models

The Operator which gives you the total energy of your wave is the Hamiltonian Operator

http://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)

As you can see it is simply the first derivative of your wave in respect to time

mulitiplyed by i * h_bar

Ok, that is for the left side of the schrodinger equation

Which gives you the total energy

But the total energy is a sum of Kinetic energy and Potential energy

The left is the H operator

On the right we have the Kinetic energy

and the Potential energy

The kinetic energy is the Laplacian operator

and the Potential energy is V(r)

Now you can understand a little more that equation

Just like f=ma this is an empirical equation

It is simply correct

Or better to say it is simply useful

http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation

Allah is Al-ʿAlīm, The All Knowing, The Omniscient.

Do you have a little time for QM?

Ok, please say, Bismillah.

There are some conceptual things that you should know

I think by now you have heard some stuff about Particle-Wave duality

Now tell me your idea about that

Ok, tell me an example of the particle nature of light

It is so common

Reflection

Have you seen any experiment in which we observe the momentum of light?

http://en.wikipedia.org/wiki/Compton_scattering

Now let's focus on real issues

The fact is that this Particle-wave dualty is some how nonsense

It is not true to say that the nature of light is particles or waves

Light is light

Some times we use the Particle Model

Some times we use the wave model

As I told you it is just a model

Physicst try to apply it

So far it was quite a useful model

What is it about?

You know physicist main job is to predict future

In classical mechanics we do it using newton equations

a=F/a

a=F/m

If you have F then you have the second derivative of your particle

And from it you compute Velocity and then Position at a later time

Now here you have the schrodinger equation

But it talks about first derivative

And it is alos a complex values function

You have psi

which is your wave

Wave here is only a model

nothing more nothing less

d psi / dt is related to laplacian of psi

Ok, do you know what is the H operator?

The hamiltonian operator?

Its simply on operator which gives you the energy of your wave

See,

In quantum Mechanics we have a model named WAVE

But some times we need to MEASURE it

For MEASURING it we use OPERATORS

So every Measurement is an Operator and Vice Versa

Yes even measurments in laboratory are Operators

Please don't be confused and don't forget that it is all definitions

Reality is just out there

We should have models

The Operator which gives you the total energy of your wave is the Hamiltonian Operator

http://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)

As you can see it is simply the first derivative of your wave in respect to time

mulitiplyed by i * h_bar

Ok, that is for the left side of the schrodinger equation

Which gives you the total energy

But the total energy is a sum of Kinetic energy and Potential energy

The left is the H operator

On the right we have the Kinetic energy

and the Potential energy

The kinetic energy is the Laplacian operator

and the Potential energy is V(r)

Now you can understand a little more that equation

Just like f=ma this is an empirical equation

It is simply correct

Or better to say it is simply useful

http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation

Allah is Al-ʿAlīm, The All Knowing, The Omniscient.

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