Let's consider a harmonic oscillator. The total energy o this oscillator is given by E=(p?/2m) +(½)kx². A) For constant energy E, graph the energies in the range E to E + dE, the allowed region in the classical phase space (p-x plane) of the oscillator. B) For k = 6.0 N / m, m = 3.0 kg and the maximum amplitude of the oscillator xmax = 2.3 m For the region with energies equal to or less than E, the oscillator can be entered for calculate the number O(E).(elipsin alanı=rtab) C) Quantum mechanical expression for E energy of the same simple harmonic oscillator in (a) and (b) E=n+(½)ħw. Here w is the classical frequency [w? =k/m] and n is an integer. Calculate the quantum number n. Compare options (b) and (c).

Let's consider a harmonic oscillator. The total energy o this oscillator is given by E=(p?/2m) +(½)kx². A) For constant energy E, graph the energies in the range E to E + dE, the allowed region in the classical phase space (p-x plane) of the oscillator. B) For k = 6.0 N / m, m = 3.0 kg and the maximum amplitude of the oscillator xmax = 2.3 m For the region with energies equal to or less than E, the oscillator can be entered for calculate the number O(E).(elipsin alanı=rtab) C) Quantum mechanical expression for E energy of the same simple harmonic oscillator in (a) and (b) E=n+(½)ħw. Here w is the classical frequency [w? =k/m] and n is an integer. Calculate the quantum number n. Compare options (b) and (c).

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Description: Let's consider a harmonic oscillator. The total energy ofthis oscillator is given by E=(p²/2m) +(½)kx².A) For constant energy E, graph the energies in therange E to E + dE, the allowed region in the classicalphase space (p-x plane) of the oscillator

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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