# What is your favorite equation?

• zeromodz
In summary, the conversation discussed various equations and topics related to physics, including time dilation, electromagnetism, Lagrange's equations, Maxwell's equations, and the symmetrization requirement in quantum mechanics. The participants also shared their favorite equations, with one choosing Lagrange's equations and the other choosing Maxwell's equations.
zeromodz
It can be about anything. I am kind of new to physics and I love playing with new interesting equations like time dilation and so forth. Whats your favorite equation that you use to calculate things for fun?

electromagnetism: d(*+i)dA = -*J

Lagrange's equations

$$\frac{d}{dt}\frac{\partial L}{\partial\dot{q}} -\frac{\partial L}{\partial q}=0$$

The set of equations as in the attached PDF.

#### Attachments

• Dynamics.pdf
50.3 KB · Views: 213
Am I allowed two interrelated equations? If so, I'll have Maxwell's equations

$$F_{\left[\alpha\beta,\gamma\right]} = 0$$

$${F^{\alpha\beta}}_{;\beta} = \mu_0J^\alpha$$

Maxwell eqs.

The symmetrization requirement in QM:

$$\psi(\textbf{r}_1,\textbf{r}_2) = \pm \psi(\textbf{r}_2,\textbf{r}_1)$$ (+for bosons, - for fermions)

## 1. What is your favorite equation?

As a scientist, I have many equations that I find fascinating and useful. It is difficult to choose just one favorite, but if I had to pick, I would say the Schrödinger equation is at the top of my list.

## 2. Why is the Schrödinger equation your favorite?

The Schrödinger equation is a fundamental equation in quantum mechanics that describes the behavior of a quantum system. It allows us to predict the probability of finding a particle in a certain location or state, and has many applications in understanding the behavior of atoms, molecules, and other quantum systems.

## 3. Can you explain the Schrödinger equation in simple terms?

The Schrödinger equation is a mathematical equation that describes how a quantum system evolves over time. It takes into account the properties of the system, such as its energy and potential, to determine the probability of finding a particle in a certain state or location.

## 4. How is the Schrödinger equation used in scientific research?

The Schrödinger equation is used extensively in many areas of scientific research, including quantum mechanics, chemistry, and materials science. It allows scientists to make predictions about the behavior of quantum systems and has been instrumental in understanding and developing new technologies such as transistors and lasers.

## 5. Are there any real-life applications of the Schrödinger equation?

Yes, the Schrödinger equation has many real-life applications. For example, it is used in the design and development of electronic devices such as transistors and computer chips. It is also used in pharmaceutical research to understand the behavior of molecules and develop new drugs. Additionally, the Schrödinger equation is used in the study of quantum computing and quantum cryptography, which have the potential to revolutionize information technology and data security.

Replies
8
Views
2K
Replies
19
Views
2K
Replies
27
Views
3K
Replies
21
Views
2K
Replies
3
Views
832
Replies
1
Views
187
Replies
16
Views
2K
Replies
9
Views
842
Replies
6
Views
2K
Replies
5
Views
928