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  • Answer the following questions: (e)The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations: E=hν , p=λ/h

Answer the following questions:

Q : 11.37 (e) The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations:
          E=hv,p=\frac{h}{\lambda }
But while the value of \lambda is physically significant, the value of  v  (and therefore, the value of the phase speed v \lambda ) has no physical significance. Why?

Answers (1)

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The absolute energy has no significance because of the reference point being arbitrary and thus the inclusion of an arbitrary constant rendering the value of \nu\lambdaand .\nu to have no physical significance as such.

The group speed is defined as

V_{G}=\frac{h}{\lambda m} 

Due to the significance of the group speed the absolute value of wavelength has physical significance.

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Sayak

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