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Exercise:
Calculate the de Broglie wavelength for a water molecule in a human body with temperature TO. Why is it unreasonable to consider the entire body as a quantum object?

Solution:
The mean kinetic energy of a water molecule is sscEkin frackT fracp^m The mean momentum is thus p sqrt m k T It follows for the de Broglie wavelength lambda frachp laF fracnchsqrt times mu times nck times TK fracnchsqrt times m times nck times TK resultlaS The molecules in a human body are moving randomly thermal motion. The corresponding de Broglie waves are therefore uncorrelated i.e. there is no constant phase relation.
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Exercise:
Calculate the de Broglie wavelength for a water molecule in a human body with temperature TO. Why is it unreasonable to consider the entire body as a quantum object?

Solution:
The mean kinetic energy of a water molecule is sscEkin frackT fracp^m The mean momentum is thus p sqrt m k T It follows for the de Broglie wavelength lambda frachp laF fracnchsqrt times mu times nck times TK fracnchsqrt times m times nck times TK resultlaS The molecules in a human body are moving randomly thermal motion. The corresponding de Broglie waves are therefore uncorrelated i.e. there is no constant phase relation.
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quantum physics
Tags
de broglie, thermal motion, wavelength
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(3, default)
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Language
ENG (English)
Type
Calculative / Quantity
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