how do we say that time dependent shrodinger equation conflicts relativity?

Question

anonymous · Answer

Do you mean is it compatible with relativity or do you mean that it produces results that conflict with relativity.
The time dep. Schrodinger equation is non- relativistic to start with and if attempts are made to make it relativistic its solutions produce unacceptable results.

anonymous · Answer

the first one...i cant relate how it is incompatible..i mean what is wrong with the schrodinger(or relativity) that doesnt make the two fit?

anonymous · Answer

It is not a relativistic equation to start with and is not Lorentz invariant.  Its like a newtonian mechanics equation.

anonymous · Answer

im starting to get confused now...i thought schrodinger eqn was an alternate to newtonian mechanics

anonymous · Answer

Quantum Mechanics is a formalism developed for explaining physical systems that are quantized ie.only have discrete energy values as compared Newtonian mechanics which allow a continuum of energies.

anonymous · Answer

but why did you say its like a newtonian mechanics eqn?

anonymous · Answer

because it is not invariant under a Lorentz transformation.  This is a coordinate transformation that all relativistic equations must satisfy.  Newtonian mechanics is also not Lorentz invariant.

anonymous · Answer

ok..i have another doubt...whencan we apply the time dependent eqn and in which cases we can apply the time independent one?

anonymous · Answer

consider this...which eqn should we use for a free particle and which one for a bound particle?

anonymous · Answer

The time independent S.E.  is used for fixed potentials (i.e., not time varying as for electrons in a coulomb potential) which is the largest area application.   Time  dependent can be used for freely moving particles.

anonymous · Answer

coulomb potential?

anonymous · Answer

The potential due to the interaction of charged particles like electron and protons.

anonymous · Answer

thanks man..you cleared all my doubts..

anonymous · Answer

Your welcome.   Keep in mind that to understand QM you need a good foundation in electromagnetic theory and classical mechanics.

anonymous · Answer

yeah..im working on it..thanks