1. Determine whether y = A sin(kx) + B cos(kx) is an acceptablesolution to the time-independent Schrodinger equation.

Please, I need help. Our book does not give one example of how touse this equation.

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Related questions

1. Use the classical wave equation (Helmholtz equation) to showthat the superposition of two one-dimensional harmonic waves y =y(x,t), one traveling to right and the other one traveling to theleft is a wavefunctions that represents a classical wave that couldpossibly exist in nature. What does the superposition of these twowaves actually represent?

I am just not sure how to set this problem up. I know I canuse:
y₁=Asin(kx-Ït)

y₂=Bsin(kx+Ït)

Y=y₁+y₂

I just do not understand what is being asked of me?? Pleasehelp.

I have a final exam tomorrow and the professor gave usthederivation sheet early that has all of the needed equations.Iunderstand them all except one involving standing waves, thisiswhat's given:

y_standing (x,t) = [const.] Ã sin(kx +Î¦₁)sin(Ït + Î¦₂)

I'm used to the equation: y' (x, t) = [2y_m sin(kx)]Ãcos(Ït). I do not understand three things, what"[const.]" means(constant or constructive?) and why are wemultiplying 2 differentsines (as opposed to sine and cosine, likethe other equation?) Ialso do not understand what's theamplitude in that equation(y_m.) (Obviously), trig isnot my strong suit, so pleaseprovide the identity, if one isneeded, thanks!! Like I said, It'stomorrow (5/13) so the soonerthe better! I will rate lifesaver forthe first response thatproperly answers my question!

Hi everyone,

I am having trouble understanding this explanation at ALL. :(Cramster tries their very best, but I am just notphysics-inclined.

The book is Principles of Physics (Ch1, 7P).
--------

Which of the following equations are dimensionally correct?

(a) Vf = Vi + ax (b) y = (2m)cos(kx), where k =2m-1.

Thanks in advance, I am just hopelessly confused about theexplanation.