- #1
Ahmad Kishki
- 159
- 13
The dx actually precedes the function! What does that mean, please explain it simply, my qm book just brushed over it.
Ahmad Kishki said:The dx actually precedes the function! What does that mean, please explain it simply, my qm book just brushed over it.
Quantum Defect said:Duke Ellington: "It don't mean a thing..."
You can put "dx" at the front or at the back of the integrand; there is no difference. They mean the same thing.
A "Very curious integral" is a type of mathematical integral that is often used in physics and chemistry to calculate the overlap of two wavefunctions. It is also referred to as an overlap integral or a Coulomb integral.
The calculation of a "Very curious integral" involves integrating the product of two wavefunctions over all space. This is typically done using numerical methods, such as Gaussian quadrature, due to the complexity of the integral.
The "Very curious integral" is an important tool in quantum mechanics as it helps to calculate the degree of overlap between two quantum states. This information is crucial in understanding the behavior of electrons in atoms and molecules.
In general, the "Very curious integral" cannot be solved analytically due to its complexity. However, there are some special cases where analytical solutions can be found, such as for simple wavefunctions or in one-dimensional systems.
While the "Very curious integral" is primarily used in physics and chemistry, it also has applications in other fields such as materials science and engineering. It can be used to calculate the electron density distribution in materials, which is important for understanding their properties and behavior.