Show that the wavefunctions ψ = sin(π x/L) and ψ = sin(2π x/L) are orthogonal, where x is the po

Name: Show that the wavefunctions ψ = sin(π x/L) and ψ = sin(2π x/L) are orthogonal, where x is the position of a particle in a box of length L.
Uploaded: 2020-10-21T19:37:35-08:00
Duration: 1 min 17 s
Channel: Lottie Adams
Description: Show that the wavefunctions ψ = sin(π x/L) and ψ = sin(2π x/L) are orthogonal, where x is the position of a particle in a box of length L.

Question

Show that the wavefunctions \(\psi = \sin(\pi x/L)\) and \(\psi = \sin(2\pi x/L)\) are orthogonal, where x is the position of a particle in a box of length L.

          Show that the wavefunctions \(\psi = \sin(\pi x/L)\) and \(\psi = \sin(2\pi x/L)\) are orthogonal, where x is the position of a particle in a box of length L.

Show that the wavefunctions ψ = sin(π x/L) and ψ = sin(2π x/L) are orthogonal, where x is the position of a particle in a box of length L.

Added by Mark H.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Lottie Adams

10/21/2020

Step 1

Step 1: To show that two wavefunctions are orthogonal, we need to calculate the inner product of the two functions and show that it equals zero. Show more…

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Show that the wavefunctions psi =sin(pi (x)/(L)) and psi =sin(2pi (x)/(L)) are orthogonal, where x is the position of a particle in a box of length L. Show that the wavefunctions w=sin(rx/L) and w=sin(2rix/L) are orthogonal, where x is the position of a particle in a box of length L.