- #1

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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?

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- Thread starter hyena
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- #1

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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?

- #2

jtbell

Mentor

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Schrödinger's equation is non-relativistic.

- #3

Avodyne

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[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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