The first function has a discontinuity; the second function is double-valued; and the third function diverges so is not normalizable. According to the uncertainty principle, if the uncertainty on the ...The first function has a discontinuity; the second function is double-valued; and the third function diverges so is not normalizable. According to the uncertainty principle, if the uncertainty on the particle’s position is small, the uncertainty on its momentum is large. Carrying out the derivatives (as above) for the sine function gives a cosine on the right side the equation, so the equality fails. The n=5 function is the first two and a half waves of the sine function. ;
The first function has a discontinuity; the second function is double-valued; and the third function diverges so is not normalizable. According to the uncertainty principle, if the uncertainty on the ...The first function has a discontinuity; the second function is double-valued; and the third function diverges so is not normalizable. According to the uncertainty principle, if the uncertainty on the particle’s position is small, the uncertainty on its momentum is large. Carrying out the derivatives (as above) for the sine function gives a cosine on the right side the equation, so the equality fails. The n=5 function is the first two and a half waves of the sine function. ;
