Calculate the expectation value of x of the quantum harmonic oscillator x fromequilibrium when the oscillator is in the v = 0 and v = 1 quantum states.

the oscillator is in the v = 0 and v = 1 quantum states

Answered: Calculate the expectation value of x of…

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter14: Rotational And Vibrational Spectroscopy

Section: Chapter Questions

Problem 14.62E

See similar textbooks

Similar questions

For a particle in a state having the wavefunction =2asinxa in the range x=0toa, what is the probability that the particle exists in the following intervals? a x=0to0.02ab x=0.24ato0.26a c x=0.49ato0.51ad x=0.74ato0.76a e x=0.98ato1.00a Plot the probabilities versus x. What does your plot illustrate about the probability?
Calculate the expectation values of x and x2 for a particle in the state with n = 1 in a one-dimensional square-well potential.
To what speed must a proton be accelerated from rest for it to have a de Broglie wavelength of 100 pm? What accelerating potential difference is needed?
Find an expression for the value of n of a particle of mass m in a one-dimensional box of length L such that the energy of the level is equal to the mean energy of thermal motion (1/2kT). Calculate the value of n for the case of an argon atom in a box of length 0.1 cm at 298 K.
Normalize the wave function ψ= A sin (nπ/a x) by finding the value of the constant A when the particle is restricted to move in one dimensional box of width ‘a’.
To what speed must an electron be accelerated from rest for it to have a de Broglie wavelength of 100 pm? What accelerating potential difference is needed?
Without evaluating any integrals, state the value of the expectation value of x for a particle in a box of length L for the case where the wavefunction has n = 2. Explain how you arrived at your answer.
A normalized wavefunction for a particle confined between 0 and L in the x direction is ψ = (2/L)1/2 sin(πx/L). Suppose that L = 10.0 nm. Calculate the probability that the particle is (a) between x = 4.95 nm and 5.05 nm, (b) between x = 1.95 nm and 2.05 nm, (c) between x = 9.90 nm and 10.00 nm, (d) between x = 5.00 nm and 10.00 nm.
Calculate the size of the quantum involved in the excitation of an electronic motion of frequency 1.0 x 1015 Hz. Ans: 400 kJ/mol
What is the magnitude of the angular momentum of a CH4 molecule when it is rotating with its minimum energy?
A particle freely moving in one dimension x with 0 ≤ x ≤ ∞ is in a state described by the normalized wavefunction ψ(x) = a1/2e–ax/2, where a is a constant. Evaluate the expectation value of the position operator.
Determine the number and location of the maxima in the plot r2R*(r) R(r) for the 2s wavefunction.

SEE MORE QUESTIONS

Recommended textbooks for you

Physical Chemistry

Chemistry

ISBN:

9781133958437

Author:

Ball, David W. (david Warren), BAER, Tomas

Publisher:

Wadsworth Cengage Learning,

Introductory Chemistry: A Foundation

Chemistry

ISBN:

9781337399425

Author:

Steven S. Zumdahl, Donald J. DeCoste

Publisher:

Cengage Learning

Physical Chemistry

Chemistry

ISBN:

9781133958437

Author:

Ball, David W. (david Warren), BAER, Tomas

Publisher:

Wadsworth Cengage Learning,

Introductory Chemistry: A Foundation

Chemistry

ISBN:

9781337399425

Author:

Steven S. Zumdahl, Donald J. DeCoste

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Calculate the expectation value of x of the quantum harmonic oscillator x from equilibrium when the oscillator is in the v = 0 and v = 1 quantum states.