The non-relativistic behavior of particles

[FRANCLI]

hello
When I was studing about the Schrödinger equation,I read that it describes the non-relativistic behavior of particles .
But I don't know what is the non-relativistic behavior of particles . S o I need somebody to explain this behavior .

 

[tiny-tim]

Hi FRANCLI!

It means that we can define momentum = mv and energy = 1/2 mv².

(relativistic behavior of particles is more accurate, and defines momentum = mv/√(1 - v²/c²) and energy = m/√(1 - v²/c²), which are approximately the same as the non-relativistic definitions when v is very much smaller than c )

 

[FRANCLI]

thank you ,
but if the energy is = 1/√(1 - v2/c2), and v is very much smaller than c , the energy will be 1 ?

 

[tiny-tim]

oops!

oops! … i missed out the "m"

it should have been energy = m/√(1 - v²/c²)

(or KE = m/√(1 - v²/c²) - m, which is approximately 1/2 mv² when v is very small)

(i've edited my last post, so it's correct now )

 

[FRANCLI]

OK, thanks .