ahhppull said:ψ2 = (2/L)sin2(n∏x)
∫(2/L)sin2(n∏x)dx = 2/L [x/2 - (L/n∏x)sin(2n∏x/L)] from x = 0 to x = 0.2
lep11 said:Isn't this advanced physics?
TSny said:Check the factor highlighted above. Note that this factor should have the dimensions of length.
tia89 said:Yes you are... you are working with numbers here, not with angles... in this case the sine is just a function, and want an adimensional argument. While radians are a conventional unit for angles but are not a real units (you call radians to understand that you are speaking of angles but it is still a pure number), degrees are indeed an unit, so you can't use them here
A "Particle in a Box" is a simplified model used in quantum mechanics to study the behavior of a particle confined within a specific boundary. In this model, the particle is treated as a wave and its energy levels can be calculated based on the size of the box.
The value of P, also known as the probability density function, represents the probability of finding the particle at a specific location within the box. By calculating P from 0 to 0.2 nm, we can gain insight into the behavior and properties of the particle within this specific range.
In the "Particle in a Box" model, P is calculated using the Schrödinger equation, which describes the wave-like behavior of particles. The equation takes into account the size of the box, the mass of the particle, and the energy levels of the particle.
The "Particle in a Box" model has various applications in different fields of science, such as chemistry, physics, and material science. It can be used to understand the electronic structure of atoms and molecules, as well as the behavior of electrons in semiconductors and other materials.
The size of the box directly affects the energy levels and P in the "Particle in a Box" model. As the size of the box decreases, the energy levels become more closely spaced and the value of P increases, indicating a higher probability of finding the particle within a smaller range.