Search results
Results From The WOW.Com Content Network
A primary approach to computing the behavior of a wave function is to write it as a superposition (called "quantum superposition") of (possibly infinitely many) other wave functions of a certain type—stationary states whose behavior is particularly simple. Since the Schrödinger equation is linear, the behavior of the original wave function ...
This property is called the superposition principle in physics. The wave equation alone does not specify a physical solution; a unique solution is usually obtained by setting a problem with further conditions, such as initial conditions, which prescribe the amplitude and phase of the wave.
The quantum wave equation can be solved using functions of position, (), or using functions of momentum, () and consequently the superposition of momentum functions are also solutions: = + The position and momentum solutions are related by a linear transformation, a Fourier transformation. This transformation is itself a quantum superposition ...
The following may be deduced by applying the principle of superposition to two sinusoidal waves, using trigonometric identities. The angle addition and sum-to-product trigonometric formulae are useful; in more advanced work complex numbers and fourier series and transforms are used.
Collective matter waves are used to model phenomena in solid state physics; standing matter waves are used in molecular chemistry. Matter wave concepts are widely used in the study of materials where different wavelength and interaction characteristics of electrons, neutrons, and atoms are leveraged for advanced microscopy and diffraction ...
In physics and engineering, the envelope of an oscillating signal is a smooth curve outlining its extremes. [1] The envelope thus generalizes the concept of a constant amplitude into an instantaneous amplitude. The figure illustrates a modulated sine wave varying between an upper envelope and a lower envelope. The envelope function may be a ...
The above can be demonstrated in one dimension by deriving the formula for the sum of two waves. The equation for the amplitude of a sinusoidal wave traveling to the right along the x-axis is (,) = where is the peak amplitude, = / is the wavenumber and = is the angular frequency of the wave.
Photon polarization is the quantum mechanical description of the classical polarized sinusoidal plane electromagnetic wave.An individual photon can be described as having right or left circular polarization, or a superposition of the two.