Problem #0100 Quantum Physics Problem #0102 Chapters Chapters

802.

Problem 53.20 (RHK)

A neutron star can be analyzed by techniques similar to those used for ordinary metals. In this case the neutrons (rather than electrons) obey the Fermi-Dirac probability function. We have to consider a neutron star of 2.00 solar masses with a radius of 10.0 km and calculate the Fermi energy of the neutrons.

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Mass of a neutron, ,

Mass of a neutron star of 2.00 solar masses, ,

Radius of the neutron star, .

Number of neutrons in the neutron star,

From the above data we note that the number of neutron per cubic meter in the neutron star,

At absolute zero Fermi energy is the highest energy of the occupied state. It is given by the relation

Therefore, the Fermi energy of the neutrons in the neutron star of 2 solar masses and radius of 10 km will be