Question

(2) [6pts] Consider the 1D infinite square wellof width ?, which we have solved before.Calculate the...

(2) [6pts] Consider the 1D infinite square wellof width ?, which we have solved before.Calculate the total energy of a system of five indistinguishable particleswith mass ?placed in the well under these conditions:

(a)The particles are spin-1/2

(b)The particles are spin-3/2

(c)The particles are spin-0

Homework Answers

Answer #1

I hope you understood the problem, If yes then rate me up or else comment for a better solution and do not forget to rate answer.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a particle mass M in an infinite square well of width (W) with the initial...
Consider a particle mass M in an infinite square well of width (W) with the initial state: |?〉=?(|?)〉+7?|?-〉) What are the possible results of an energy measurement and the probability of each?
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength...
consider a square well if infinite sides of width L: a) Calculate the energy and wavelength of a photon emitted when a transition between the n=5 and ground state is made. b) Write down the expression for the probability that a particle in the nth state will be found in the first 1/3 of a well of width
An electron is trapped in an infinite square well potential of width 3L, which is suddenly...
An electron is trapped in an infinite square well potential of width 3L, which is suddenly compressed to a width of L, without changing the electron’s energy. After the expansion, the electron is found in the n=1 state of the narrow well. What was the value of n for the initial state of the electron in the wider well?
Consider the states of the combined total spin of two particles, each of which has spin...
Consider the states of the combined total spin of two particles, each of which has spin 5/2 with ms= +5/2, +3/2, +1/2, −1/2, −3/2, and −5/2. (a) How many macrostates are there corresponding to the different values of the total spin if the particles are distinguishable? (b) If the two particles are distinguishable, what is the total number of microstates for all the allowed macrostates? (c) If the two particles are indistinguishable, what is the total number of microstates for...
Consider a particle trapped in an infinite square well potential of length L. The energy states...
Consider a particle trapped in an infinite square well potential of length L. The energy states of such a particle are given by the formula: En=n^2ℏ^2π^2 /(2mL^2 ) where m is the mass of the particle. (a)By considering the change in energy of the particle as the length of the well changes calculate the force required to contain the particle. [Hint: dE=Fdx] (b)Consider the case of a hydrogen atom. This can be modeled as an electron trapped in an infinite...
An infinite square well has a particle of mass m that is in a state |├...
An infinite square well has a particle of mass m that is in a state |├ ψ(0)〉=A(├ |1〉-├ |2〉+├ i|3〉) at time t=0. The kets ├ |1〉,├ |2〉, and ├ |3〉 correspond to the first three energy eigenstates of the infinite square well. Find the normalized state vector. What are the energy measurement outcomes and their probabilities? What is the energy expectation value? What is the normalized state vector at time t? What are the energy measurement outcomes and their...
A system consists of two particles, each of which has a spin of 3/2. a) Assuming...
A system consists of two particles, each of which has a spin of 3/2. a) Assuming the particles to be distinguishable, what are the macrostates of the z component of the total spin, and what is the multiplicity of each? b) What are the possible values of the total spin S and what is the multiplicity of each value? Verify that the total multiplicity matches that of part (a). c) Now suppose the particles behave like indistinguishable quantum particles. What...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0,...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0, 3E0, and 4E0. Taking into account the various ways the particles can fill those energy states, draw schemes of all the possible configurations with total energy E = 4E0 for the following cases: (a) The two particles are distinguishable. (b) The two particles are indistinguishable bosons. (c) The two particles are indistinguishable fermions.
We consider four positive charges Q at the corners of a square of side length a...
We consider four positive charges Q at the corners of a square of side length a and centered around (0,0), we will assume that the charges are very massive and do not move. An electron of mass m and charge -e is close to the center of the square, with coordinates (x,y). 1. What is the total energy of the electron? 2. Approximate the potential energy by a quadratic expression in x and y 3. Assuming the electron at t=0...
Consider the full time-dependent wavefunctions Ψ(x, t) = ψ(x)φ(t). For the case of an infinite square...
Consider the full time-dependent wavefunctions Ψ(x, t) = ψ(x)φ(t). For the case of an infinite square well in 1D, these were Ψn(x, t) = Sqrt (2/L) sin(nπx/L) e^(−i(En/h)t In general, the probability density |Ψn|2 is time-independent. But suppose instead of being ina fixed energy state, we are in a special state Ψmix(x, t) = √12(Ψ1 − iΨ2). What is the time-dependent part of |Ψmix|2?