# Quantum Concepts

## Homework Statement

TRUE or FALSE for each statement:

*Only very small objects have a wave function.
*Electrons show interference effects like waves.
*The wave function times the volume gives a measure of the probability of finding a particle in a particular region.
*The absolute value of the square of the wave function can be thought of as a probability density.
*No two electrons may occupy the same quantum state in an atom.
*Two photons may occupy the same quantum state.

## The Attempt at a Solution

I'm finding vague answers to these concepts in my book, but I just wanted some clarification because it's hard to completely digest the language used. I've only heard of wave functions in quantum, so I'm assuming the first is true? The second is false, because the idea of an electron in quantum is probability, not a physical particle itself. The third statement is logical to me, but anytime I've normalized a probability integral I've always used the absolute value of the wave function squared. So I'm not sure about that. In that regard, the fourth statement I'm familiar with, but I'm not sure if it's defined as the "density". The fifth statement is true. And I'm almost positive the sixth is true because photons are bosons.

Any corrections of my logic or guidance? I would appreciate it!

## Homework Statement

TRUE or FALSE for each statement:

*Only very small objects have a wave function.
*Electrons show interference effects like waves.
*The wave function times the volume gives a measure of the probability of finding a particle in a particular region.
*The absolute value of the square of the wave function can be thought of as a probability density.
*No two electrons may occupy the same quantum state in an atom.
*Two photons may occupy the same quantum state.

## The Attempt at a Solution

I'm finding vague answers to these concepts in my book, but I just wanted some clarification because it's hard to completely digest the language used. I've only heard of wave functions in quantum, so I'm assuming the first is true? The second is false, because the idea of an electron in quantum is probability, not a physical particle itself. The third statement is logical to me, but anytime I've normalized a probability integral I've always used the absolute value of the wave function squared. So I'm not sure about that. In that regard, the fourth statement I'm familiar with, but I'm not sure if it's defined as the "density". The fifth statement is true. And I'm almost positive the sixth is true because photons are bosons.

Any corrections of my logic or guidance? I would appreciate it!

The first seems true, but yet, everything has a wave function, and everything "obeys" if you will quantum physics. A human would defract through a doorway, were he to take 1 step every several billion years or so. Beware of this question, it is false, yet only seems true.

The second seems true to me. Electrons will behave like waves in double slit experiments, showing an interference pattern, but when you try to 'detect' them, you cause them to recoil and pickup their particle properties.

Third is false, it's the wave function squared.

fourth is true.

fifth is true

Not sure about the 6th, if you say true, so be it

It was right! Thank you very much :)