Quantum Mechanics II 7. A Fermi gas is contained in a cube of side length a. With the aid of the SchrÃ¶dinger equation, argue that the Fermi energy can only depend on mass m, Planck's constant h, and a. Use dimensional analysis to show that the Fermi energy is of the order Ep ~ h^2/3/ma, and therefore Ep ~ h^2/3/m, with the particle number density (the exact proportionality constant cannot be determined within dimensional analysis). If the particles are nucleons with the density of...

Views: 5,404 students

Found 8 tutors discussing this question

Scarlett Discussed

Quantum Mechanics II 7. A Fermi gas is contained in a cube of side length a. With the aid of the SchrÃ¶dinger equation, argue that the Fermi energy can only depend on mass m, Planck's constant h, and a. Use dimensional analysis to show that the Fermi energy is of the order Ep ~ h^2/3/ma, and therefore Ep ~ h^2/3/m, with the particle number density (the exact proportionality constant cannot be determined within dimensional analysis). If the particles are nucleons with the density of...

9 mins ago

Discuss this question LIVE

9 mins ago

Question Text	Quantum Mechanics II 7. A Fermi gas is contained in a cube of side length a. With the aid of the SchrÃ¶dinger equation, argue that the Fermi energy can only depend on mass m, Planck's constant h, and a. Use dimensional analysis to show that the Fermi energy is of the order Ep ~ h^2/3/ma, and therefore Ep ~ h^2/3/m, with the particle number density (the exact proportionality constant cannot be determined within dimensional analysis). If the particles are nucleons with the density of...
Topic	All topics
Subject	Physics
Class	Class 12

Filo tutor solution

Practice more questions on All topics

Students who ask this question also asked