Question

Find the eigenstates and energies for a 3-D quantum harmonic oscillator as we did for the...

Find the eigenstates and energies for a 3-D quantum harmonic oscillator as we did for the 3-D infinite square well case. In both cases there are 3 distinct n values with a label for the x, y, or z coordinate. Compare the degeneracies of the first 3 distinct energy levels of these two systems.

Homework Answers

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
The purpose of this problem is to compare the time dependencies for systems in a superposition...
The purpose of this problem is to compare the time dependencies for systems in a superposition of two energy eigenstates in an infinite square well to those in a simple harmonic oscillator. Consider two systems (an infinite square well and a simple harmonic oscillator) that have the same value for their ground state energy Eground. 1) What is E3, the energy of the 2nd excited state (the third lowest energy) of the infinite square well system in terms of Eground?...
The purpose of this problem is to compare the time dependencies for systems in a superposition...
The purpose of this problem is to compare the time dependencies for systems in a superposition of two energy eigenstates in an infinite square well to those in a simple harmonic oscillator. Consider two systems (an infinite square well and a simple harmonic oscillator) that have the same value for their ground state energy Eground. 1) What is E3, the energy of the 2nd excited state (the third lowest energy) of the infinite square well system in terms of Eground?...
The purpose of this problem is to compare the time dependencies for systems in a superposition...
The purpose of this problem is to compare the time dependencies for systems in a superposition of two energy eigenstates in an infinite square well to those in a simple harmonic oscillator. Consider two systems (an infinite square well and a simple harmonic oscillator) that have the same value for their ground state energy Eground. 1) What is E3, the energy of the 2nd excited state (the third lowest energy) of the infinite square well system in terms of Eground?...
1) A quantum harmonic oscillator with frequency ωcontains 41 electrons. What is the energy of the...
1) A quantum harmonic oscillator with frequency ωcontains 41 electrons. What is the energy of the highest-energy electron? Assume that the electrons are in the lowest states possible. 2 a) An atom has a total of 18 electrons. What is the principal quantum number of the outermost shell? 2 b) How many electrons does the outermost shell shell contain? 3) Which of the following represents the possible range of integer values for the magnetic quantum number? a) 1 to l...
In Classical Physics, the typical simple harmonic oscillator is a mass attached to a spring. The...
In Classical Physics, the typical simple harmonic oscillator is a mass attached to a spring. The natural frequency of vibration (radians per second) for a simple harmonic oscillator is given by ω=√k/m and it can vibrate with ANY possible energy whatsoever. Consider a mass of 135 grams attached to a spring with a spring constant of k = 1 N/m. What is the Natural Frequency (in rad/s) of vibration for this oscillator? In Quantum Mechanics, the energy levels of a...
1 - Write the one dimensional, time-independent Schrödinger Wave Equation (SWE). Using the appropriate potential energy...
1 - Write the one dimensional, time-independent Schrödinger Wave Equation (SWE). Using the appropriate potential energy functions for the following systems, write the complete time independent SWE for: (a) a particle confined to a one-dimensional infinite square well, (b) a one-dimensional harmonic oscillator, (c) a particle incident on a step potential, and (d) a particle incident on a barrier potential of finite width. 2 - Find the normalized wavefunctions and energies for the systems in 1(a). Use these wavefunctions to...
1. As we increase the quantum number of an electron in a one-dimensional, infinite potential well,...
1. As we increase the quantum number of an electron in a one-dimensional, infinite potential well, what happens to the number of maximum points in the probability density function? It increases. It decreases. It remains the same 2. If an electron is to escape from a one-dimensional, finite well by absorbing a photon, which is true? The photon’s energy must equal the difference between the electron’s initial energy level and the bottom of the nonquantized region. The photon’s energy must...
In this problem we are interested in the time-evolution of the states in the infinite square...
In this problem we are interested in the time-evolution of the states in the infinite square potential well. The time-independent stationary state wave functions are denoted as ψn(x) (n = 1, 2, . . .). (a) We know that the probability distribution for the particle in a stationary state is time-independent. Let us now prepare, at time t = 0, our system in a non-stationary state Ψ(x, 0) = (1/√( 2)) (ψ1(x) + ψ2(x)). Study the time-evolution of the probability...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well...
II(20pts). Short Problems a) The lowest energy of a particle in an infinite one-dimensional potential well is 4.0 eV. If the width of the well is doubled, what is its lowest energy? b) Find the distance of closest approach of a 16.0-Mev alpha particle incident on a gold foil. c) The transition from the first excited state to the ground state in potassium results in the emission of a photon with  = 310 nm. If the potassium vapor is...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities...
BridgeRock is a major manufacturer of tires in the U.S.. The company had five manufacturing facilities where tires were made and another 20 facilities for various components and materials used in tires. Each manufacturing facility produced 10,000 tires every hour. Quality had always been emphasized at BridgeRock, but lately quality was a bigger issue because of recent fatal accidents involving tires made by other manufacturers due to tread separation. All tire manufacturers were under pressure to ensure problems did not...