Is it more convenient to use wavefunctions with definite energy ?
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Is it more convenient to use wavefunctions with definite energy ?

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Is it more convenient to use wavefunctions with definite energy?
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- (5) The wave function for a particle is given by: (x) = Ae-=/L for r 2 0, where A and L are constants, and L > 0. b(x) = 0 for r < 0. (a) Find the value of the constant A, as a function of L. A useful integral is: fe-K=dx = -ke-K, %3D where K is a constant. (b) What is the probability of finding the particle in the range –10 L < x< -L? (c) What is the probability of finding the particle in the range 0Are these acceptable wavefunctions in the range x = -infinity to infinity? If so, please explain. cos kx x-1/4Mathematical Physics Topic: Fourier TransformQ/ Show that the oscillating probability density is linear in arbitrary wave beams that oscillates with a frequency equal to that of a linear oscillator?Define and discuss tunneling.Determine the wave function for n=1, l=0, ml=0 (variable separation equation), and derive the equation. (for the wave function phi use the differential equation, for the wave function tetha with the legendre polynomial equation, for the wave function R use the polynomileguare equation