With the given Hermite polynomials how to find the coefficients cn? Given a particle of mass m in the harmonic oscillator potential starts out in the state 2 mw Mwx Y(x, 0) = A|1 – 2 -x] еxp 2h with Hermite polynomials H,(E) = 1, H, (E) = 2E, H,(E) = 4E² – 2. Find the coefficients c, of 4(x, 0) in the basis mw ¼ 1 $n (x) =| MW H,(E) exp V2"n! ; E== 2 by expressing 2 mw 1-2 in terms of the first three Hermite polynomials Ho(E), H; (E), and H2(E).

With the given Hermite polynomials how to find the coefficients cn? Given a particle of mass m in the harmonic oscillator potential starts out in the state 2 mw Mwx Y(x, 0) = A|1 – 2 -x] еxp 2h with Hermite polynomials H,(E) = 1, H, (E) = 2E, H,(E) = 4E² – 2. Find the coefficients c, of 4(x, 0) in the basis mw ¼ 1 $n (x) =| MW H,(E) exp V2"n! ; E== 2 by expressing 2 mw 1-2 in terms of the first three Hermite polynomials Ho(E), H; (E), and H2(E).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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