Representation , Normalization and Dimensionali - ty of a Particle Wave Function for an Arbitrary One - Dimensional Potential
نویسنده
چکیده
The problem of determining of the normalization constant of a wave function describing an arbitrary type of an infinite motion for a one-dimensional potential is discussed. It is shown that for the cases of the momentum or the quasi-wave number representations the normalization constant does not depend on the representation parameter. In contrast to these cases for the energy representation the normalization constant depends on the energy state value. It is proved, that regardless of the representation choice and the form of a onedimensional potential the normalization constant of a wave function for an arbitrary infinite motion coincides with the value of the normalization constant of the free motion. The connection between the normalization condition of the wave function and the magnitudes of the amplitudes determining the asymptotic behavior of the wave function is also established.
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