- #1

- 383

- 5

- Thread starter Superposed_Cat
- Start date

- #1

- 383

- 5

- #2

Simon Bridge

Science Advisor

Homework Helper

- 17,857

- 1,654

Because it makes the math easier....why wave functions are represented as eigenvectors?

Technically - the wave-function is a state-vector.

We like to resolve them into eigenvectors (also called eigenfunctions) for the same reason we like to resolve a velocity vector into components: it makes the math easier.

All wave-functions are vectors because they transform as vectors - so "function" and "vector" mean the same thing.

- #3

- 383

- 5

could you elaborate with an example please?

- #4

Vanadium 50

Staff Emeritus

Science Advisor

Education Advisor

2019 Award

- 25,653

- 8,842

- #5

Simon Bridge

Science Advisor

Homework Helper

- 17,857

- 1,654

There are plenty of examples in standard texts in linear algebra - you should have seen them already.

- #6

- 383

- 5

I only learnt eigenvectors, eigenvalues, dirac notation and inner products. I already knew how to work with matrices.I just haven't seen how to use them in qm.

I'm motivated. Science is my life. I don't spend my time playing games like my other friends.

I'm motivated. Science is my life. I don't spend my time playing games like my other friends.

Last edited by a moderator:

- #7

Simon Bridge

Science Advisor

Homework Helper

- 17,857

- 1,654

Do you know what a vector space is?

Have you seen that functions are vectors in their own right?

Or are you thinking that a vector*is* a column (or row) of numbers?

See also:

https://ece.uwaterloo.ca/~ece204/howtos/functions/

All the rest is just different ways of writing vectors down.

Have you seen that functions are vectors in their own right?

Or are you thinking that a vector

See also:

https://ece.uwaterloo.ca/~ece204/howtos/functions/

All the rest is just different ways of writing vectors down.

Last edited:

- #8

- 383

- 5

Thanks, I didn't know that vectors=functions in a way.

- #9

Simon Bridge

Science Advisor

Homework Helper

- 17,857

- 1,654

This gets very useful when you have to deal with much more complicated systems where writing down the functions normally can occupy a whole page - it can also obscure the relationships that you are interested in.

- #10

- 383

- 5

Thanks again, is this the basis for the linear algebra formulation of QM?

- #11

Simon Bridge

Science Advisor

Homework Helper

- 17,857

- 1,654

- #12

Khashishi

Science Advisor

- 2,815

- 493

- Replies
- 4

- Views
- 884

- Last Post

- Replies
- 7

- Views
- 2K

- Replies
- 6

- Views
- 1K

- Replies
- 2

- Views
- 2K

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 57

- Views
- 9K

- Replies
- 7

- Views
- 7K

- Last Post

- Replies
- 8

- Views
- 5K

- Replies
- 3

- Views
- 172

- Last Post

- Replies
- 2

- Views
- 1K