B Understanding Circumflex Operators: Get Help Now

[regory]

Hi
I have a problem for understanding the difference between an circumflex operator and non-circumflex operador.
I'd appreciate your help

 

[PeterDonis]

I have a problem for understanding the difference between an circumflex operator and non-circumflex operador.

Where are you seeing these terms used? Can you give a reference?

 

[regory]

Today my physics teacher said that the circumflex operator (for example Ĥ) is different to the operator H because Ĥ is normalized. I have always used ^ for denote any operator and I don't find information about this difference.

 

[PeterDonis]

my physics teacher said that the circumflex operator (for example Ĥ) is different to the operator H because Ĥ is normalized.

Did you ask your teacher what they meant by "normalized", or what difference "normalizing" an operator makes?

I don't find information about this difference.

Where have you looked?

 

[PeterDonis]

Did you ask your teacher what they meant by "normalized", or what difference "normalizing" an operator makes?

Or, did your teacher give explicit examples of a non-normalized operator $H$ and the corresponding normalized operator $\hat{H}$?

 

[vanhees71]

I think we'd need a source, where these distinctions are made. It's not a common notation. Usually one uses a hat above a symbol to indicate that one deals with an operator rather than a (real or complex) number in quantum mechanics. I also don't know, what "normalization of an operator" means.