Answered: in quantum mechanics ; calculate the…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 10CQ

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Similar questions

Suppose a wave function is discontinuous at some point. Can this function represent a quantum state of some physical particle? Why? Why not?
Can we simultaneously measure position and energy of a quantum oscillator? Why? Why not?
The first four Hermite polynomials of the quantum oscillator areH0 = 1, H1 = 2x, H2 = 4x2 − 2, H3 = 8x3 − 12x. Let p(x) = 12x3 − 8x2 − 12x + 7. Using the basis H = {H0, H1, H2, H3}, find the coordinate vector ofp relative to H. That is, find [p]H. This is a textbook question, not a graded question
Can a quantum particle 'escape' from an infinite potential well like that in a box? Why? Why not?
Which one of the following functions, and why, qualifies to be a wave function of a particle that can move along the entire real axis? (x)=Aex2; (x)=Aex; (x)=Atanx; (x)=A(sinx)/x; (x)=Ae|x|
Can we measure the energy of a free localized particle with complete precision?
Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in the region O and L. One possible wave function is (x,t)={AeiEt/hsinxL, when 0xL otherwise Determine the normalization constant.
Is it possible to measure energy of 0.75h for a quantum harmonic oscillator? Why? Why not? Explain.
A particle of mass m confined to a box of width L is in its first excited state 2(x). (a) Find its average position (which is the expectation value of the position). (b) Where is the particle most likely to found?
Find the expectation value of the position squared when the particle in the box is in its third excited state and the length of the box is L.
Is it possible that when we measure the energy of a quantum particle in a box, the measurement may return a smaller value than the ground state energy? What is the highest value of the energy that we can measure for this particle?
What is the ground state energy (in eV) of a proton confined to a one-dimensional box the size of the uranium nucleus that has a radius of approximately 15.0 fm?

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in quantum mechanics ; calculate the eigenvalue of these operators L2 , Lz when l equal to 6 ?