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mathavraj

  • 2 years ago

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

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  1. gleem
    • 2 years ago
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    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.

  2. mathavraj
    • 2 years ago
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    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?

  3. gleem
    • 2 years ago
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    It is not a relativistic equation to start with and is not Lorentz invariant. Its like a newtonian mechanics equation.

  4. mathavraj
    • 2 years ago
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    im starting to get confused now...i thought schrodinger eqn was an alternate to newtonian mechanics

  5. gleem
    • 2 years ago
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    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.

  6. mathavraj
    • 2 years ago
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    but why did you say its like a newtonian mechanics eqn?

  7. gleem
    • 2 years ago
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    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.

  8. mathavraj
    • 2 years ago
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    ok..i have another doubt...whencan we apply the time dependent eqn and in which cases we can apply the time independent one?

  9. mathavraj
    • 2 years ago
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    consider this...which eqn should we use for a free particle and which one for a bound particle?

  10. gleem
    • 2 years ago
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    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.

  11. mathavraj
    • 2 years ago
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    coulomb potential?

  12. gleem
    • 2 years ago
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    The potential due to the interaction of charged particles like electron and protons.

  13. mathavraj
    • 2 years ago
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    thanks man..you cleared all my doubts..

  14. gleem
    • 2 years ago
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    Your welcome. Keep in mind that to understand QM you need a good foundation in electromagnetic theory and classical mechanics.

  15. mathavraj
    • 2 years ago
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    yeah..im working on it..thanks

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