If ε is the ground state energy of a single particle in an infinite square well, which of the following is incorrect when there are two noninteracting particles, both of mass m, in an infinite square well (for the case of two Fermions, assume that the spin state is the same): Select one: O a. The ground state energy is 2ε if the particles are identical Bosons ○ b. The ground state energy is 2ε, if the particles are distinguishable ○ c. The ground state energy is 5ε if the particles are identical Fermions d. The ground state energy is εo irrespective of whether the particles are distinguishable or identical

If ε is the ground state energy of a single particle in an infinite square well, which of the following is incorrect when there are two noninteracting particles, both of mass m, in an infinite square well (for the case of two Fermions, assume that the spin state is the same): Select one: O a. The ground state energy is 2ε if the particles are identical Bosons ○ b. The ground state energy is 2ε, if the particles are distinguishable ○ c. The ground state energy is 5ε if the particles are identical Fermions d. The ground state energy is εo irrespective of whether the particles are distinguishable or identical

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Consider the case for the boson particle system. From 1 assembly containing thousands of groups, there are the number of states g10 = 3 (states a, b and c), and the number of boson balls n10 = 4 in group 10. Map the possible combinations in the 10th group and prove that the number of combinations is equal to
2 Consider a one-dimensional infinite well of width w along z-axis. Find the ground state energy and wave function of a system of N noninteracting identical particles that are confined to when the particles are bosons and spin 1/2 fermions.
results. OAKL Consider a pne dimensional infinite-wall potential V = ∞ for > Land z<0, and V0 for There are two identical spin half fermions in this potential well and spin states are dened by) and 4) for spin up and down, respectively. a) (Very easy) Find the eigenvalues and the corresponding wave functions for the potential well. b) (Ensy) Write the full wave function for the fermions in singlet state with possible minimum energy. e) (Easy) Write the full wave function for the fermions in triplet state with possible minimum energy
Consider a one-dimensional infinite well of width w along the z-axis. Find the ground state energy and wave function of a system of N noninteracting identical particles that are confined to when the particles are bosons and spin 1/2 fermions.
What will happen if we put a spin-1 particle inside the 3D potentialwell? Find out the density of states for the system.
instead of V. 7) 16.2. Why might you expect the canonical partition function to scale exponentially with the system size, thus always ensuring that the Helmholtz free energy is extensive? 16.3. In a quantum
(d) Fermions are represented by Dirac spinors and obey the Dirac equation. The Dirac equation is (i", - m)=0 where, in the so-called chiral basis, the gamma matrices are: x=(-15) - where i runs over 1,2,3 and o are the Pauli spin matrices. i. In this basis, calculate the 'fifth' gamma matrix 75 = iyºy¹z²z³. ii. Determine the result of the projection operator (1+75) acting on the spinor - (3). X =
Consider three noninteracting indistinguishable spin-0 particles trapped in a harmonic potential with energy states given as: [nx, Ny, nz). Consider three distinct single particle states: |0,0,0), |0,1,0), |0,2,0). Each of the particles can be in any one of the three states listed. How many different three particle states are possible?
Sketch the expected occupation number for a state with energy ε as a function of the temperature T when the particles are (i) bosons or (ii) fermions, and explain how these simplify when the system is dilute.
Suppose you have three particles, and three distinct one-particle states (Va(x), Vb(x), and ye(x)) are available. How many different three-particle states can be constructed, (a) if they are distinguishable particles, (b) if they are identical bosons, (c) if they are identical fermions? (The particles need not be in different states-Wa(x1)¥a(x2)ựa (.x3) would be one possibility, if the particles are distinguishable.) |