Stupid question on schrodinger equation

  • Thread starter hyena
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i know its a stupid question but im a beginner:
according to eisntein:
[tex]E=K+m_{o}c^2[/tex]
but the plane wave solution yields that particle's KE is its total energy,where free particle has no potential energy. But where is the rest mass energy[tex]m_{o}c^2[/tex]? Is it omitted?
 

Answers and Replies

  • #2
jtbell
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Schrödinger's equation is non-relativistic.
 
  • #3
Avodyne
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If we start with

[tex]E=\sqrt{p^2 c^2 + m^2 c^4}[/tex]

and Taylor-expand in powers of [itex]p[/itex], we get

[tex]E=mc^2 + {p^2\over 2m} + \ldots [/tex]

The second term is the usual nonrelativistic kinetic energy. The first term is a constant, and so could be added to the potential energy. But it has no physical consequences, so it's just omitted for convenience.
 

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