PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
6th Edition
ISBN: 9781429206099
Author: Tipler
Publisher: MAC HIGHER
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Chapter 35, Problem 24P
To determine
The ground state energy of seven identical non interacting fermions in one dimensional box.
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Students have asked these similar questions
Problem 4. Consider two indistinguishable, noninteracting spin-1/2 fermions in a one-
dimensional infinite square well potential of length L.
(a) What is the ground-state energy of the two-particle system?
(b) What is the ground-state quantum state vector?
(c) What is the first excited state energy of the two-particle system?
(d) What are the quantum state vectors of the first excited state?
(e) What is the degeneracy of the first excited state?
(f) Discuss qualitatively how the excited-state energies change if we consider the particles
to be interacting through the Coulomb potential.
Two nonintercating gaseous particles form an open system. There are three nondegenerate single particle states of energies Є, 2Є, 3Є in the system. Find the canonical partition functions Z0, Zl, Z2 and the grand canonical partition function Z if the particles are (a) fermions (b) bosons What is the average number of particles per state in each case? Calculate the internal energy U? (related to statistical physics)
Problem 35-28:
What is the ground-state energy in electron volts of 10 noninteracting fermions each with a mass of 5.02E-27 kg in a one-
dimensional box of length L 3.90E-10 m ? (Because the quantum number associated with spin can have two values, each spatial
=
state can hold two fermions.)
0.044 eV
Chapter 35 Solutions
PHYSICS F/SCI.+ENGRS.,STAND.-W/ACCESS
Ch. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7PCh. 35 - Prob. 8PCh. 35 - Prob. 9PCh. 35 - Prob. 10P
Ch. 35 - Prob. 11PCh. 35 - Prob. 12PCh. 35 - Prob. 13PCh. 35 - Prob. 14PCh. 35 - Prob. 15PCh. 35 - Prob. 16PCh. 35 - Prob. 17PCh. 35 - Prob. 18PCh. 35 - Prob. 19PCh. 35 - Prob. 20PCh. 35 - Prob. 21PCh. 35 - Prob. 22PCh. 35 - Prob. 23PCh. 35 - Prob. 24PCh. 35 - Prob. 25PCh. 35 - Prob. 26PCh. 35 - Prob. 27PCh. 35 - Prob. 28PCh. 35 - Prob. 29PCh. 35 - Prob. 30PCh. 35 - Prob. 31PCh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38P
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