How to study Dark matter and Dark energy theoretically?

Since 1990, based on the Type Ia Supernova observations, it was established that our universe is dominant with some unknown quantities which generally referred to as Dark Matter and Dark Energy. The term dark has been used to represent the form of quantity which does not interact with light or mainly any known particles. Since, the unknown substance is electromagneticaly neutral, hence the unknown sector has been dubbed as a dark sector. The dark matter is referred to as a form of substance which is essential for structure formation and found to be pressureless. This form of matter can be considered as a gravitating system, which behaves as a dust matter. While the form of dark energy can exhibit a repulsive effect (opposite to the gravitational force), that can generate negative pressure, making universe to grow bigger and bigger with an acceleration. It has been found that the major constituents of our universe is dark energy which is 70%, then dark matter 26% and then rest of the matter from which all the galaxies and visible structures are made of.

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Passionate Teacher

The mediocre teacher tells. The good teacher explains. The superior teacher demonstrates. The great teacher inspires. ’ A teacher has the power to transform souls and touch someone’s life in a positive way. It is one of the noblest of professions that deal with life-changing and destiny-altering powers. The teacher has the present as raw material on which she will finally carve and design the future … the children. It’s an ever evolving yet challenging and lifelong learning environment of which we are an integral part. Teaching is a chance to touch someone’s life in a positive way. Teachers are the pillars of society for they educate and mould the future citizens of a country. Teaching, like any other activity, emerges from ones inwardness. Motivating and exciting students is the key. Passion for teaching is innate. At the core of caring relationships are positive and high expectations that not only structure and guide behaviours, but also challenge students to perform what they believ

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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 $ r= \mid \vec{r_1}- \vec{r_2}\mid \implies V(

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