# New to Quantum Mechanics - please

• kel
In summary, the conversation is about a person seeking help with a piece of coursework on Quantum Mechanics. They have a question about the state function 'phi'(x,t) and need to use the Time independent Schrodinger equation to find the potential V(x) and sketch the probability distribution. They also want to know where the particle is most likely to be found.
kel
New to Quantum Mechanics - need help please !

Hi

I have a piece of coursework that I'm stuck on, mainly because I can't quite get my head around QM at the moment.

Could anyone help me with the following?

The state function 'phi'(x,t) = C exp(-ax)^2

for 2 constants a and C, is a stationary state with energy E.

Using TISE (Time independant Schrodinger equ) find the potential V(x).
Sketch the probability distribution. Where is the particle most likely to be found??

Kel

Write down the Schrodinger equation, time independent. You don't know what $$V(x) \psi(x)$$ is, but you know everything else.

## 1. What is quantum mechanics?

Quantum mechanics is a branch of physics that deals with the behavior of matter and energy on a very small scale, such as atoms and subatomic particles. It explains how particles behave and interact with each other, and has led to many advances in technology and our understanding of the universe.

## 2. How is quantum mechanics different from classical mechanics?

Classical mechanics is based on Newton's laws of motion and describes the behavior of larger objects, while quantum mechanics deals with the behavior of particles at the atomic and subatomic level. In classical mechanics, objects have well-defined positions and velocities, whereas in quantum mechanics, there is inherent uncertainty in these properties.

## 3. What is the significance of quantum mechanics?

Quantum mechanics is significant because it provides a more accurate understanding of the fundamental workings of the universe, particularly at the smallest scales. It has also led to the development of technologies such as transistors, lasers, and nuclear power.

## 4. How does quantum mechanics relate to other branches of science?

Quantum mechanics is a foundational theory that underlies other branches of science, such as chemistry, biology, and materials science. It also has implications for fields like information technology, cryptography, and quantum computing.

## 5. What are some practical applications of quantum mechanics?

Quantum mechanics has numerous practical applications, including transistors in electronic devices, lasers in medical and industrial settings, and nuclear power for energy production. It also has potential applications in fields such as quantum cryptography and quantum computing.

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