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(a) A beam of electrons and a beam of protons are described by the wave function Y(x) = Aekx. Find the ratio of the flux of the electron beam to the flux of the proton beam (Given, h ay [VY - YV4*], where VY = 2im Flux = dx (b) Find the probability current density at a time 't' for the one dimensional wave function of the form 4(x, t) = Ae-ip(x.t) (Given Probability current density J' 2im ay where VY =: ax

(a) A beam of electrons and a beam of protons are described by the wave function Y(x) = Aekx. Find the ratio of the flux of the electron beam to the flux of the proton beam (Given, h ay [VY - YV4*], where VY = 2im Flux = dx (b) Find the probability current density at a time 't' for the one dimensional wave function of the form 4(x, t) = Ae-ip(x.t) (Given Probability current density J' 2im ay where VY =: ax

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(a) A beam of electrons and a beam of protons are described by the wave function psi(x) =Ae^ikx. Find the ratio of the flux of the electron beam to the flux of the proton beam (Given,Flux= h/2im[psi*del operator psi - psi del operator psi*], where del operator psi=dpsi/dx)

(b) Find the probability current density at a time 't' for the one dimensional wave function of the form psi(x, t) Ae^-ip(x,t) (Given Probability current density 'J' =h/2im[psi*del operator psi - psi del operator psi*] where del operator psi=dpsi/dx).

3) (a) A beam of electrons and a beam of protons are described by the wave function 4(x) = Aekx. Find the ratio of the flux of the electron beam to the flux of the proton beam (Given, y'vY - YVy'), where VY = 2im Flux (b) Find the probability current density at a time 't' for the one dimensional wave function of the form Y(x, t) = Ae-ip(x.t) (Given Probability current density 'J' = 2im where VY =
Transcribed Image Text:3) (a) A beam of electrons and a beam of protons are described by the wave function 4(x) = Aekx. Find the ratio of the flux of the electron beam to the flux of the proton beam (Given, y'vY - YVy'), where VY = 2im Flux (b) Find the probability current density at a time 't' for the one dimensional wave function of the form Y(x, t) = Ae-ip(x.t) (Given Probability current density 'J' = 2im where VY =
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