) 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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Question
![(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5277c1f3-9802-4713-b096-bbd0b3c2e8c8%2Fa24d7d24-c805-47e4-b2b1-01cdae487d0c%2Fxewzc24_processed.jpeg&w=3840&q=75)
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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