- #1
ehrenfest
- 2,020
- 1
I have an infinite well from -a to with a particle in its ground. The initial wavefunction is then
[tex]\psi(x) = u_1^+(x;a) = cos(\pi x/ 2a)/\sqrt{a}[/tex] for |x| < a.
In order to get the wavefunction for this particle when box that is instantaneously expanded to [-b,b] should I apply Fourier analysis via
[tex] a^{+}_n = 1/b \int_{-b}^{b}cos(\pi x/ 2a)/\sqrt{a}\cdot cos(\pi x/ 2b)/\sqrt{b}dx [/tex]
where a^{+}_n is the coefficient of the even wavefunction with that n in the expanded box?
[tex]\psi(x) = u_1^+(x;a) = cos(\pi x/ 2a)/\sqrt{a}[/tex] for |x| < a.
In order to get the wavefunction for this particle when box that is instantaneously expanded to [-b,b] should I apply Fourier analysis via
[tex] a^{+}_n = 1/b \int_{-b}^{b}cos(\pi x/ 2a)/\sqrt{a}\cdot cos(\pi x/ 2b)/\sqrt{b}dx [/tex]
where a^{+}_n is the coefficient of the even wavefunction with that n in the expanded box?