Consider a system of N classical free particles, where the motion of each particle is described...

Consider a system of N classical free particles, where the motion of each particle is described by Hamiltonian H = p²/2m, where m is the mass of the particle and p is the momentum. (All particles are assumed to be identical.)

(1) Calculate the canonical partition function, internal energy and specific heat of the given system.

(2) Derive the gas state equation.

Expert Solution

hope you get it...thank you..

genius_generous answered 2 years ago

Question 4: There is a system consisting of three particles where a particle can be in...

Question 4: There is a system consisting of three particles where a particle can be in 0, ?, 3? and 5? energy states. Write the partition functions of the particles that meet the following conditions. a) If the particles are distinguishable b) Particles comply with Bose-Enistein statistics c) If the particles match Fermi-Dirac statistics

Consider the one-dimensional motion of a particle of mass ? in a space where uniform gravitational...

Consider the one-dimensional motion of a particle of mass ? in a space where uniform gravitational acceleration ? exists. Take the vertical axis ?. Using Heisenberg's equation of motion, find the position-dependent operators ? ? and momentum arithmetic operator ?? in Heisenberg display that depend on time. In addition, calculate ??, ?0, ??, ?0.

In a system of three particles, each particle has three quantum states. The energies of these...

In a system of three particles, each particle has three quantum states. The energies of these situations are 0.3? and 5?, respectively. Write the partition functions of the particles that meet the following conditions. a) If the particles are distinguishable b) Particles comply with Bose-Enistein statistics c) If the particles match Fermi-Dirac statistics

Consider a gas formed by only of two particles A and B. Suppose that each particle...

Consider a gas formed by only of two particles A and B. Suppose that each particle can be at one of the three possible quantum states S=1,2,3 a) Enlist all the possible microstates of gas. b) Which are the possible wave function for the gas as a whole at statistics MB, BE and FD

The motion of a particle in space is described by the vector equation ⃗r(t) = 〈sin...

The motion of a particle in space is described by the vector equation ⃗r(t) = 〈sin t, cos t, t〉 Identify the velocity and acceleration of the particle at (0,1,0) How far does the particle travel between t = 0 & t= pi What's the curvature of the particle at (0,1,0) & Find the tangential and normal components of the acceleration particle at (0,1,0)

Consider the following wavefunctions. For each wavefunction, Normalize it. Find the probability that the particle described...

Consider the following wavefunctions. For each wavefunction, Normalize it. Find the probability that the particle described by these wavefunctions exists in the region 0 Phi(x) = Ae^(-x^2/3) Phi(x) = A/(x^2+2)

he path of motion of a 7-lb particle in the horizontal plane is described in terms...

he path of motion of a 7-lb particle in the horizontal plane is described in terms of polar coordinates as r = (3 t + 1)ft and θ = (0.5 t2 − t) rad, where t is in seconds.Determine the magnitude of the unbalance force at t = 3.0 seconds.

Solve for the motion of a free particle moving in one dimension with initial position and...

Solve for the motion of a free particle moving in one dimension with initial position and initial momentum using Hamilton –Jacobi theory. Please be sure to use the fact that the resulting Kamiltonian vanishes to simplify your work. Comment on the results you find.

A system of particles has an entropy given by the formula SU,V,N=aU(V/N) where U is the...

A system of particles has an entropy given by the formula SU,V,N=aU(V/N) where U is the thermal energy, V is the volume, N is the number of particles, and a is a constant. What are the units of the constant a? How many microstates are there for the macrostate described by the variables U, V and N. Write down the fundamental thermodynamic formula. Find the temperature T of the system in terms of the variables U, V and N Find...

Consider a system of N particles in an infinite square well fro, x=0 to x=N*a. find...

Consider a system of N particles in an infinite square well fro, x=0 to x=N*a. find the ground state wave function and ground state energy for A. fermions. B. bosons.

Question