Calculate the probablity density and current density of a wavefunction

Thread starter anchal2147
Start date Oct 14, 2022
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Current Current density Density Wavefunction

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The discussion focuses on calculating the probability density and current density of a wavefunction using the time evolution operator. The wavefunction is expressed as Ψ(x,t) = U(t,t1) * Ψ(x,t1), but the next steps for calculating the probability and current densities remain unclear. Participants suggest expanding the list of relevant equations to include those needed for probability calculations. The conversation emphasizes the importance of understanding these concepts in quantum mechanics. Clarifying these calculations is essential for progressing in the problem.

Oct 14, 2022

anchal2147

Homework Statement: Want to find the solution of part b,c and d

Relevant Equations: time evolution operator, momentum and position operator

i have use time evolution operator to get the wavefunction at any time "t" as Ψ(x,t) = U(t,t1) * Ψ(x,t1)
but i don't know how to calculate next part of the question

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Oct 14, 2022

vanhees71

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Maybe it helps to enlarge your list of "relevant equations" by the probabilities asked for in (b) and for the probability density and current density in (c)...

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