Helium Atom problem- Find it's wave Function

Helium Atom problem
Evaluation of wave function and Energy
Approximation Method
Using Variational principle
Many-Body problem

Link to see the paper

https://www.scribd.com/document/392492158/Helium-Atom-Graduate-Text-How-to-find-the-wave-function-and-Energy

If you want to understand how to evaluate the He- atom wavefunction, You need to click on this. I have derived in a rigorous manner. To get more problems to be solved you can suggest me some problem to evaluate. I will write one book on Quantum Mechanics to handle its concept and how to use in a mathematical way to solve problems.

Comments

MY ART WORK

IST CHAPTER UNITS & DIMENSION ANALYSICS

UNITS- Q uestion you need ton first understand the meaning of science. Science means MEASUREMENTS. In every field of science we do measurements, science only cares about measuring things. That means the things have to be observable. That’s why in science we don’t take care about FEELINGS. Because we can’t measure feelings. Now as we measure something, we need to represent it in some notation to identify or distinguish between quantities. Because whatever we measure it’s just number, if I say you the speed is 5. What info can you tell about 5, it’s just a number, it nothing tells you about anything related to speed. So you need to specify specific quantities to extract info. Actually speed refers to unit distance travel in unit seconds. So the unit distance can be shown in centimeters, meters, and kilometers. Generally we show distances in meters because it acceptable internationally and it is general notation we use in physics. So the (SI) unit of speed is meters per second. So, yo...

Scattering In Quantum Mechanics

Scattering Amplitude Spinless Particle we are dealing with quantum description of scattering. Elastic Scattering $ \rightarrow $ between two spinless, non-relativistic particles of masses m1 and m2. During the scattering process, the particles interact with one another. If the interaction is time independent, we can describe the two-particle system with stationary states. \begin{equation}\Psi\left(\vec{r}_{1}, \vec{r}_{2}, t\right)=\psi\left(\vec{r}_{1}, \vec{r}_{2}\right) e^{-i E_{T} t / n}\end{equation} $ E_T $ is total energy. \begin{equation}\left[-\frac{\hbar^{2}}{2 m_{1}} \vec{\nabla}_{1}^{2}-\frac{\hbar^{2}}{2 m_{2}} \vec{\nabla}_{2}^{2}+\hat{V}\left(\vec{r}_{1}, \vec{r}_{2}\right)\right] \psi\left(\vec{r}_{1}, \vec{r}_{2}\right)=E_{T} \psi\left(\vec{r}_{1}, \vec{r}_{2}\right) \end{equation} defining $ ...

Knowledge Hub

Search This Blog