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b) Show that the pressure of degenerate electrons is given by 8π 3h³ me where you may use the following expression P P = and up is the velocity corresponding to momentum p. PF - or 4 p¹ (1+p²/m² c²) ∞ 1/3/[ n(p)pv, dp, -dp,

b) Show that the pressure of degenerate electrons is given by 8π 3h³ me where you may use the following expression P P = and up is the velocity corresponding to momentum p. PF - or 4 p¹ (1+p²/m² c²) ∞ 1/3/[ n(p)pv, dp, -dp,

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b) Show that the pressure of degenerate electrons is given by PF 8T p¹ dp, 3h³²m² So ² (1 + P² /m²c²") " me where you may use the following expression P = P and Up is the velocity corresponding to momentum p. 1 == f**n (p)pvp.dp, = 3
Transcribed Image Text:b) Show that the pressure of degenerate electrons is given by PF 8T p¹ dp, 3h³²m² So ² (1 + P² /m²c²") " me where you may use the following expression P = P and Up is the velocity corresponding to momentum p. 1 == f**n (p)pvp.dp, = 3
Question 2 This question concerns electron degeneracy pressure inside white dwarfs. a) With reference to the Fermi momentum, pF, explain what is meant by a completely degenerate electron gas. Show that the number density of electrons in such a gas is ne (p)dp= Show that the total electron number density is given by For full marks, explain all steps in your derivation. ne = = 8πр² dp h.³ 8π 3h3 pp.
Transcribed Image Text:Question 2 This question concerns electron degeneracy pressure inside white dwarfs. a) With reference to the Fermi momentum, pF, explain what is meant by a completely degenerate electron gas. Show that the number density of electrons in such a gas is ne (p)dp= Show that the total electron number density is given by For full marks, explain all steps in your derivation. ne = = 8πр² dp h.³ 8π 3h3 pp.
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