If you don't understand the mathematical term "orthogonalized", I'm not sure that any explanation is going to help you much. It basically means a set of wave functions which are independent... that is, the value of one does not depend on the value of any of the others.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.
A sine wave is a periodic function and, by suitably adjusting the argument of the sine function, can be made to fit a wide functions with different frequencies.
A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.
A basic wave function is a sine or cosine function whose amplitude may have a value other than 1. The cosine function is an even function because it is symmetrical about the y-axis. That is, f(-x) = f(x) for all x. The sine function is an odd function because it is antisymmetrical about the y-axis. That is, f(-x) = -f(x) for all x.
The official definition for the word wave function is "a function that satisfies a wave equation and describes the properties of a wave."
Square the wave function.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Did you mean normalization or renormalization? Normalization involves determination of constants such that the value and first determinant of each segment of a wave function match at the intersections of the segments. Renormalization is a process to remove infinities from a wave function.
Did you mean normalization or renormalization? Normalization involves determination of constants such that the value and first determinant of each segment of a wave function match at the intersections of the segments. Renormalization is a process to remove infinities from a wave function.
A wave function is normalized by determining normalization constants such that both the value and first derivatives of each segment of the wave function match at their intersections. If instead you meant renormalization, that is a different problem having to do with elimination of infinities in certain wave functions.
A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt)
List of the characteristics a well-behaved wave function are ..The function must be single-valued; i.e. at any point in space, the function must have only one numerical value.The function must be finite and continuous at all points in space. The first and second derivatives of the function must be finite and continuous.The function must have a finite integral over all space.
When the disturbance is only a function of position, then it is known as wave profile.
By its very mane, a sinusoidal wave refers to a sine function. The cosine function is simply the sine function that is phase-shifted.
When the disturbance is only a function of position, then it is known as wave profile.
If you mean his wave function, just about everything. This is used today to describe all sorts of quantum phenomena.