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mathavraj
how do we say that time dependent shrodinger equation conflicts relativity?
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.
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?
It is not a relativistic equation to start with and is not Lorentz invariant. Its like a newtonian mechanics equation.
im starting to get confused now...i thought schrodinger eqn was an alternate to newtonian mechanics
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.
but why did you say its like a newtonian mechanics eqn?
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.
ok..i have another doubt...whencan we apply the time dependent eqn and in which cases we can apply the time independent one?
consider this...which eqn should we use for a free particle and which one for a bound particle?
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.
The potential due to the interaction of charged particles like electron and protons.
thanks man..you cleared all my doubts..
Your welcome. Keep in mind that to understand QM you need a good foundation in electromagnetic theory and classical mechanics.
yeah..im working on it..thanks