We know that the square modulus of the wavefunction integrated over a volume gives us the probability of finding the particle in that volume. So the result of the integral

$\int\limits^{x_f}_{x_0} \int\limits^{yf}_{y_0} \int\limits^{z_f}_{z_0} |\psi|^2 \, dz \, dy \, dx$

must be dimensionless, as represents a probability.

As the differentials has units of length

$[dx]=[dy]=[dz]=[Length]$

for the integral to be dimensionless, the units of the square modulus of the wavefunction has to be:

$[\psi]^2 = [Length^{-3}]$

taking the square root this gives us :

$[\psi] = [Length^{-3/2}]$

5 0

2 years ago

What is a heat pump? Why does it need to put in external work? Help ASAP!

pishuonlain [190]

A heat pump is a device that puts out heat. It involves pumping a lever over and over to get energy so it can work.

8 0

2 years ago

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A gram molecule of a gas at 127 ° expands isothermally until its volume id doubled. find the amount of work done and heat absorb

Nadusha1986 [10]

A gram molecule of a gas at 127°C expands isothermally until its volume is doubled. Find the amountof work done and heat absorbed.

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3 years ago

The air sealed between two panes of glass in some windows helps to _____.

olga_2 [115]

The air sealed between two panes of glass in some windows helps to insulate and helps it to keep the warmth or coolness inside.

Hope that helps!
-Chris

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3 years ago

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