Describe the ground state of this system

Assignment Help Physics
Reference no: EM131019887

Consider a system of five particles, inside a container where the allowed energy levels are nondegenerate and evenly spaced. For instance, the particles could be trapped in a one-dimensional harmonic oscillator potential. In this problem you will consider the allowed states for this system, depending on whether the particles are identical fermions, identical bosons, or distinguishable particles.

(a) Describe the ground state of this system, for each of these three cases.

(b) Suppose that the system has one unit of energy (above the ground state). Describe the allowed states of the system, for each of the three cases. How many possible system states are there in each case?

(c) Repeat part (b) for two units of energy and for three units of energy.

(d) Suppose that the temperature of this system is low, so that the total energy is low (though not necessarily zero). In what way will the behavior of the bosonic system differ from that of the system of distinguishable particles? Discuss.

Reference no: EM131019887

Questions Cloud

Compute the laplacian in three-d cartesian coordinates : Take the function u(x. y,z) = -x3 - 3xy2+ z2. Compute the Laplacian in 3D Cartesian coordinates. Convert the formula for u into a formula for u involving cylindrical polar coordinates.
Does it appear that the conditions for a confidence interval : Construct a 95% confidence interval for the population mean salt used per storm.
Mobilities change with doping concentration : In a 10-μm-long bar of donor-doped silicon, what donor concentration is needed to realize a current density of 2 mA/μm2 in response to an applied voltage of 1 V? (Note: Although the carrier mobilities change with doping concentration, as a first a..
Compute the quantum volume for an n2 molecule : Compute the quantum volume for an N2 molecule at room temperature, and argue that a gas of such molecules at atmospheric pressure can be treated using Boltzmann statistics. At about what temperature would quantum statistics become relevant for thi..
Describe the ground state of this system : Suppose that the temperature of this system is low, so that the total energy is low (though not necessarily zero). In what way will the behavior of the bosonic system differ from that of the system of distinguishable particles? Discuss.
Develop intuition concerning conducting paths : A young designer, aiming to develop intuition concerning conducting paths within an integrated circuit, examines the end-to-end resistance of a connecting bar 10-μm long, 3-μm wide, and 1 μm thick, made of various materials. The designer considers..
How many labor hours does portugal have : Assume that if England devotes all its available resources to cloth production, it can make 60 total yards of cloth. How many labor hours does Portugal have available for production
How should she spend her income to maximize her utility : How should she spend her income to maximize her utility - Mario likes to play video games. He is experiencing diminishing marginal utility, but his marginal utility remains positive. What can we say about Mario's total utility?
Centers of positive and negative charge : Show the centers of positive and negative charge in (i) CCl4, (ii) C2H2Cl2, and (iii) CH3Cl. Which of these molecules can have two forms?

Reviews

Write a Review

Physics Questions & Answers

  Find the electric field midway between the two charges

Two point charges each have a value of 30.0 mC and are separated by a distance of 4.00 cm. What is the electric field midway between the two charges

  What is the charge on each plate

An 11.0 µF parallel-plate capacitor with circular plates is connected to a 12.0V battery. What is the charge on each plate

  Determine the angular acceleration of the flywheel

The flywheel of a motor has a mass of 300kg and a moment of inertia of 580kg?m2. The motor develops a constant torque of 2000N?m, What is the angular acceleration of the flywheel

  What is the submarines acceleration

A 1460-kg submarine rises straight up towards the surface. Seawater exerts both an upward buoyant force of 16300 N on the submarine, as well as a downward resistive force of 1090 N. What is the submarine's acceleration?

  Find how far along the ladder can the man climb

A uniform ladder 5.0 meter long rests against a frictionless, vertical wall with its lower end 3.0 meter from the wall. The ladder weighs 160 Newton. Find how far along the ladder can the man climb before the ladder starts to slip

  Find the average horizontal speed of the grasshopper

A grasshopper hops along a level road. On each hop, the grasshopper launches itself at angle θ0=45 degree and achieves a range R = 0.82 meter. Find the average horizontal speed of the grasshopper

  Projectile on the moon to reach its greatest height

A toroidal solenoid has a mean radius of 11.0 cm and a cross-sectional area of 5.00 cm2 and is wound uniformly with 100 turns. A second coil with 500 turns is wound uniformly on top of the first. What is the mutual inductance of these coils.

  Find the electron speed just before electron strikes screen

In a television picture tube, electrons strike the screen after being accelerated from rest through a potential difference of 32000 V. find the electron speed just before the electron strikes the screen

  Find how far from where it was kicked will the ball land

A soccer ball is kicked with an initial horizontal velocity of 18.0 m/s, find How far from where it was kicked will the ball land

  Calculate the upward force you must exert at the moment

A long uniform rope with a mass of 0.113 kg per meter lies on theground. Calculate the upward force you must exert at the moment

  How tall is the pencil image

When a 5.5 cm long pencil is arranged perpendicular to a convex mirror's optical axis at a distance of 29 cm from the mirror, its image is 2.8 cm tall. (a) What is the mirror's focal length? (b) How tall is the pencil's image if the pencil is move..

  Determine the altitude of the plane

By the time the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one half its altitude above the ocean. If it takes the sound 2.44 s to reach the plane, determine the altitude of the plane. Take the spe..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd