A particle is confined to a one-dimensional line and has a time-dependent wave function 1 y (act) = [1+eiſka-wt)] V2L wh

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A Particle Is Confined To A One Dimensional Line And Has A Time Dependent Wave Function 1 Y Act 1 Eiska Wt V2l Wh 1 (36.66 KiB) Viewed 44 times

A particle is confined to a one-dimensional line and has a time-dependent wave function 1 y (act) = [1+eiſka-wt)] V2L where t represents time, r is the position of the particle along the line, L > 0 is a known normalisation constant and kw > 0 are, respectively, a known wave vector and a known angular frequency. (a) Calculate the probability density current ; (x, t). Show explicitly how your result has been obtained. (b) Which direction does the current flow? Justify your answer. Hint: you may use the expression j (x, t) = R [4(x, t)* mA (x, t)], where R ) stands for taking the real part. mi ar