B Understanding Circumflex Operators: Get Help Now

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The discussion centers on the confusion surrounding the circumflex operator (Ĥ) versus the non-circumflex operator (H) in quantum mechanics. Participants seek clarification on the concept of normalization, as mentioned by a physics teacher, who stated that Ĥ is normalized while H is not. There is a call for references or examples to illustrate the difference, as the notation is not widely recognized. The term "normalization of an operator" remains unclear, with participants expressing a need for further explanation. Overall, the thread highlights a gap in understanding specific quantum mechanics terminology and its implications.
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Hi
I have a problem for understanding the difference between an circumflex operator and non-circumflex operador.
I'd appreciate your help
 
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regory said:
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?
 
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.
 
regory said:
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?

regory said:
I don't find information about this difference.

Where have you looked?
 
PeterDonis said:
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}##?
 
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.
 

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