) Show that the linear combination P(x, t) = 4;(x)e- + 42(x)e is a solution of the time-dependent Schrödinger equation, provided that the function 1 (x) and 2(x) are solutions of the time-independent %3D Schrödinger equation with E = E, and E = E2, respectively.
) Show that the linear combination P(x, t) = 4;(x)e- + 42(x)e is a solution of the time-dependent Schrödinger equation, provided that the function 1 (x) and 2(x) are solutions of the time-independent %3D Schrödinger equation with E = E, and E = E2, respectively.
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Transcribed Image Text:(a) Show that the linear combination
‚E2
P(x, t) = 4; (x)e¯ +¥½(x)e¬l*t
is a solution of the time-dependent Schrödinger equation, provided that the
function W1 (x) and 2(x) are solutions of the time-independent
Schrödinger equation with E = E, and E
E2, respectively.
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