anonymous
  • anonymous
how do we say that time dependent shrodinger equation conflicts relativity?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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
  • anonymous
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
  • anonymous
It is not a relativistic equation to start with and is not Lorentz invariant. Its like a newtonian mechanics equation.

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anonymous
  • anonymous
im starting to get confused now...i thought schrodinger eqn was an alternate to newtonian mechanics
anonymous
  • anonymous
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
  • anonymous
but why did you say its like a newtonian mechanics eqn?
anonymous
  • anonymous
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
  • anonymous
ok..i have another doubt...whencan we apply the time dependent eqn and in which cases we can apply the time independent one?
anonymous
  • anonymous
consider this...which eqn should we use for a free particle and which one for a bound particle?
anonymous
  • anonymous
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
  • anonymous
coulomb potential?
anonymous
  • anonymous
The potential due to the interaction of charged particles like electron and protons.
anonymous
  • anonymous
thanks man..you cleared all my doubts..
anonymous
  • anonymous
Your welcome. Keep in mind that to understand QM you need a good foundation in electromagnetic theory and classical mechanics.
anonymous
  • anonymous
yeah..im working on it..thanks

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