(a)
The number of different three particle states can be constructed from three distinguishable particles.
(a)
Answer to Problem 5.29P
The number of different three particle states can be constructed from three distinguishable particles are
Explanation of Solution
Each distinguishable particle can have
Therefore, the total number of states the three particle can have be
Conclusion:
Thus, the number of different three particle states can be constructed from three distinguishable particles are
(b)
The number of different three particle states can be constructed from three identical bosons.
(b)
Answer to Problem 5.29P
The number of different three particle states can be constructed from three identical bosons are
Explanation of Solution
If all particles are in same state:
If two particles are in same state:
It all three particles are in different states:
Therefore, the total number of state the three particles states can be constructed from identical bosons are
Conclusion:
Thus, the number of different three particle states can be constructed from three identical bosons are
(c)
The number of different three particle states can be constructed from three identical fermions.
(c)
Answer to Problem 5.29P
The number of different three particle states can be constructed from three identical fermions is
Explanation of Solution
Fermions must occupy different states.
All three particles are in different states:
Therefore, the total number of state the three particles states can be constructed from identical fermions is
Conclusion:
Thus, the number of different three particle states can be constructed from three identical fermions is
Want to see more full solutions like this?
Chapter 5 Solutions
Introduction To Quantum Mechanics
- If the absolute value of the wave function of a proton is 2 times as large at location A than at location B, how many times is it more likely to find the proton in location A than in B?arrow_forwardThis question is for modern physics and wave and particle: (a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?arrow_forwardShow the complete solution for the following.arrow_forward
- Prove that assuming n = 0 for a quantum particle in an infinitely deep potential well leads to a violation of the uncertainty principle Δpx Δx ≥ h/2.arrow_forwardAn electron with kinetic energy E = 3.10 eV is incident on a barrier of width L = 0.230 nm and height U = 10.0 eV (a) What is the probability that the electron tunnels through the barrier? (Use 9.11 10-31 kg for the mass of an electron, 1.055 ✕ 10−34 J · s for ℏ, and note that there are 1.60 ✕ 10−19 J per eV.) b) What is the probability that the electron is reflected? What If? For what value of U (in eV) would the probability of transmission be exactly 25.0% and 50.0%? c) 25.0% d) 50.0%arrow_forwardConsider the following free particles : a 1-eV photon, a 1-MeV electron, and a 10-MeV proton. Which is moving the fastest? Slowest? Has the most momentum? The least momentum?arrow_forward
- A particle in an infinite well is in the ground state with energy1.54eV. How much energy must be added to the particle to reach the second excited state (n = 3)? The third excited state (n = 4)?arrow_forwardexplain the Fermi Dirac distributionarrow_forwardThe condition of the rigid boundaries demands that the wave function should vanish for x=0 and for x=L because?arrow_forward
- A certain atom has a doubly degenerate ground level, a triple degenerate electronically excited level at 1250 cm-1, and a doubly degenerate level at 1300 cm-1. Calculate the partition function of these electronic states at 2000 K.arrow_forwardSuppose you have a "box" in which each particle may occupy any of 10 single-particle states. For simplicity, assume that each of these states has energy zero. What is the probability of finding both particles in the same single-particle state, for the three cases of distinguishable particles, identical bosons, and identical fermions?arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning