# Quantum, matrix and momentum operator

• stalker7d7
In summary, the conversation discusses the task of writing out the matrix representation of P and applying it to the function ψ. The homework equations provided include expressions for ψ0 and ψ1, as well as the operator P. The person attempting the solution is unsure of what to do with just ψ0 and ψ1, but would know what to do if given ψm and ψn.
stalker7d7

## Homework Statement

Write out matrix representation of P.

Also, do P|ψ>

## Homework Equations

ψ=ψ0 + 2ψ1

ψ0=(1/∏)1/4 exp(- u2/2)

ψ1=(1/∏)1/4 √2 exp(- u2/2)

P= 1/(i*∏) d/du

## The Attempt at a Solution

I've no clue what to do. If I had a ψm ψn I would, but what do I do with just ψ0 ψ1?

stalker7d7 said:

## Homework Statement

Write out matrix representation of P.

Also, do P|ψ>

## Homework Equations

ψ=ψ0 + 2ψ1

ψ0=(1/∏)1/4 exp(- u2/2)

ψ1=(1/∏)1/4 √2 exp(- u2/2)

P= 1/(i*∏) d/du

## The Attempt at a Solution

I've no clue what to do. If I had a ψm ψn I would, but what do I do with just ψ0 ψ1?
What would you do in the former case?

## 1. What is quantum mechanics?

Quantum mechanics is a branch of physics that studies the behavior of matter and energy at a very small scale, such as atoms and subatomic particles. It describes how these particles behave and interact with each other through principles such as superposition and entanglement.

## 2. What is a matrix in quantum mechanics?

In quantum mechanics, a matrix is a mathematical tool used to represent the state of a quantum system. It is a square array of numbers that can be used to perform calculations and predict the behavior of the system.

## 3. How is the momentum operator related to quantum mechanics?

The momentum operator is a mathematical representation of momentum in quantum mechanics. It is used to describe the momentum of a particle and how it changes over time. It is an important tool in determining the behavior of a quantum system.

## 4. What is the uncertainty principle in quantum mechanics?

The uncertainty principle is a fundamental principle in quantum mechanics that states that it is impossible to know the exact position and momentum of a particle at the same time. This is due to the wave-like nature of particles at the quantum level and has significant implications for the behavior of particles.

## 5. How are quantum mechanics and classical mechanics different?

Quantum mechanics and classical mechanics are two different branches of physics that describe the behavior of matter and energy. While classical mechanics is based on Newton's laws of motion and describes the behavior of macroscopic objects, quantum mechanics is based on principles at the subatomic level and describes the behavior of particles and systems at a very small scale.

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