1-30 - Superposition PrincipleSuppose a particle is described by a superposition of 1-D particle in the boxwavefunctions as shown as below1. Show that Σc|²124₁ = √√ ² sin(x)n0 = 1/64с = 1-4₁√6 1Use this setup to do the problems below+7/24/2+1/2/24/3√32√232. Explain, in plain language, whyΣ c| Σ |c₂|² = ¤ 1223. Calculate for ₁, ₂, ³ using L=1Â (hint: only plug in the numerical value ofL once you've calculated the integral).4. Use your result from problem 3 to calculate for > and explain why theanswer is sensible

Given that, A particle is in a 1D potential box And the wavefunction of the particle is…

Suppose a particle is described by a superposition of 1-D particle in the box wavefunctions as shown as below 4₁ = √√ ² sin ( x) n 0 = 1/64/₂ + 1/24/₂ + √2/24/3 √32 Use this setup to do the problems below 1. Show that Σ|c₂|² = 1 2. Explain, in plain language, why Σ|c₂ |² = 1 12 3. Calculate for ₁, V₂, Y using L=1Â (hint: only plug in the numerical value of L once you've calculated the integral). 4. Use your result from problem 3 to calculate for > and explain why the answer is sensible

Suppose a particle is described by a superposition of 1-D particle in the box wavefunctions as shown as below 4₁ = √√ ² sin ( x) n 0 = 1/64/₂ + 1/24/₂ + √2/24/3 √32 Use this setup to do the problems below 1. Show that Σ|c₂|² = 1 2. Explain, in plain language, why Σ|c₂ |² = 1 12 3. Calculate for ₁, V₂, Y using L=1Â (hint: only plug in the numerical value of L once you've calculated the integral). 4. Use your result from problem 3 to calculate for > and explain why the answer is sensible

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter6: Quantum Mechanics In One Dimension

Section: Chapter Questions

Problem 28P

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