Question

5) Unlike the particle in the 1D box and the harmonic oscillator, the energy of the...

5) Unlike the particle in the 1D box and the harmonic oscillator, the energy of the ground state of the 2D rigid rotor is zero. What is the difference between these cases that allows the energy to be zero for the rigid rotor in 2D?

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
which system does not have a zero point energy? a. particle in one dimensional box (b)....
which system does not have a zero point energy? a. particle in one dimensional box (b). one dimensional harmonic oscillator. (c) two particle rigid rotor d) hydrogen atom
a) For a 1D linear harmonic oscillator find the first order corrections to the ground state...
a) For a 1D linear harmonic oscillator find the first order corrections to the ground state due to the Gaussian perturbation. b) Find the first order corrections to the first excited state. Please show all work.
The ground-state energy of a harmonic oscillator is 6 eV. If the oscillator undergoes a transition...
The ground-state energy of a harmonic oscillator is 6 eV. If the oscillator undergoes a transition from its n=3 to n=2 level by emitting a photon, what is the energy (in eV) of the emitted photon?
For 1D particle-in-a-box, if a wavefunction corresponds to ground state and 1st excited state: Is the...
For 1D particle-in-a-box, if a wavefunction corresponds to ground state and 1st excited state: Is the wave function an eigenfunction?
The normalized wave functions for the particle is in a 1D box of length L., with...
The normalized wave functions for the particle is in a 1D box of length L., with limits on x = 0 and x = L. V (x) = 0 for 0 <= x <= L and V (x) = Infinity elsewhere. The probability of a particle being between x = 0 and x = L / 8 in the ground quantum state (n = 1) should be calculated.
Quantum mechanics: Consider a particle initially in the ground state of the one-dimensional simple harmonic oscillator....
Quantum mechanics: Consider a particle initially in the ground state of the one-dimensional simple harmonic oscillator. A uniform electric field is abruptly turned on for a time t and then abruptly turned off again. What is the probability of transition to the first excited state?
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1,...
For a particle in the first excited state of harmonic oscillator potential, a) Calculate 〈?〉1, 〈?〉1, 〈? 2〉1, 〈? 2〉1. b) Calculate (∆?)1 and (∆?)1. c) Check the uncertainty principle for this state. d) Estimate the length of the interval about x=0 which corresponds to the classically allowed domain for the first excited state of harmonic oscillator. e) Using the result of part (d), show that position uncertainty you get in part (b) is comparable to the classical range of...
5. The wavefunction of a particle is ?(?) = ??−??/2 for x>0 and ?(?) = ????/2...
5. The wavefunction of a particle is ?(?) = ??−??/2 for x>0 and ?(?) = ????/2 for x<0. Find the corresponding potential energy, constant A, and energy eigenvalue. 6. The hydrogen molecule H2 can be treated as a vibrating system (simple harmonic oscillator), with an effective force constant ? = 3.5 × 10^3 eV/nm2. Compute the zero-point (ground state) energy of one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? Compute...
. The hydrogen molecule H2 can be treated as a vibrating system (simple harmonic oscillator), with...
. The hydrogen molecule H2 can be treated as a vibrating system (simple harmonic oscillator), with an effective force constant ? = 3.5 × 10^3 eV/nm2. Compute the zero-point (ground state) energy of one of the protons in H2. How does it compare with the molecular binding energy of 4.5 eV? Compute the amplitude of the zero-point motion and compare with the atomic spacing of 0.074 nm
Consider a one-dimensional harmonic oscillator, in an energy eigenstate initially (at t=t0), to which we apply...
Consider a one-dimensional harmonic oscillator, in an energy eigenstate initially (at t=t0), to which we apply a time dependent force F(t). Write the Heisenberg equations of motion for x and for p. Now suppose F is a constant from time t0 to time t0+τ(tau), and zero the rest of the time. Find the average position of the oscillator <x(t)> as a function of time, after the force is switched off. Find the average amount of work done by the force,...