- #1

- 4

- 0

It seems that both are 1 at a certain point and 0 otherwise...

The delta function is a eigenfunction of x and the Kronecker delta is ...

i'm kind of confused..

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter churi55
- Start date

- #1

- 4

- 0

It seems that both are 1 at a certain point and 0 otherwise...

The delta function is a eigenfunction of x and the Kronecker delta is ...

i'm kind of confused..

- #2

mathman

Science Advisor

- 7,955

- 498

=f(a) when a is in the interval, and integral =0 if a is not in the interval.

Kronecker delta G(n-k) (usually for integer argument, not real) G=1 for n=k, =0 for n not=k.

- #3

quasar987

Science Advisor

Homework Helper

Gold Member

- 4,784

- 18

Then the dot product of any two of these vectors can be expressed as

[tex](\hat{e}_{n}|\hat{e}_{k}) = \left\{\begin{array}{rcl}1 \ \mbox{if} \ n=k\\ 0 \ \mbox{otherwise}\end{array}[/tex]

So we write

[tex](\hat{e}_{n}|\hat{e}_{k}) = \delta_{nk}[/tex]

to compactly express this fact.

- #4

- 54

- 0

The delta function, delta(x), is infinite at x=0, zero everywhere else. It is what a normalized Gaussian "hump" looks like in the limit as its width goes to zero.

In contrast, Kronecker delta is not really a function at all ... more like an element of a matrix (the identity matrix). So Kronecker[ij] = 1 (if i==j), or 0 (if i!=j).

- #5

- 13,109

- 659

Daniel.

- #6

- 15

- 0

- #7

- 3,768

- 9

churi55 said:

It seems that both are 1 at a certain point and 0 otherwise...

The delta function is a eigenfunction of x and the Kronecker delta is ...

i'm kind of confused..

in an easy language, they are inherently the same (they have the same/analoguous meaning) but the Kronecker delta is the DISCRETE variant of the delta dirac distribution/functional. So the indices are discrete where they are continuous (they vary continuously) in case of the delta dirac distribution.

regards

marlon

- #8

- 13,109

- 659

Daniel.

- #9

- 16

- 0

[tex]\delta[/tex]

([tex]\delta[/tex]

Share:

- Replies
- 6

- Views
- 4K