What do the basic notations in quantum physics mean?

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Discussion Overview

The discussion revolves around the meanings of basic notations in quantum physics, specifically focusing on Dirac notation and related mathematical symbols. Participants seek clarification on notations such as the complex conjugate and Hermitian conjugate, as well as the implications of these symbols in the context of quantum mechanics.

Discussion Character

  • Conceptual clarification, Technical explanation, Homework-related

Main Points Raised

  • One participant expresses confusion about Dirac notation and seeks clarification on symbols like V (superscript *), which some participants propose represents the complex conjugate of a matrix.
  • Another participant suggests that V (superscript +) indicates the Hermitian conjugate, which involves both transposing and taking the complex conjugate of the matrix.
  • A later reply emphasizes that the issues being faced are mathematical rather than physical, indicating that these notations are derived from mathematical conventions.
  • Participants note the importance of consulting multiple sources for definitions, as notations may vary between textbooks.

Areas of Agreement / Disagreement

There is no explicit consensus on the definitions of the notations, as participants acknowledge variability in textbook definitions. However, there is general agreement on the proposed meanings of the symbols discussed.

Contextual Notes

Limitations include the potential for differing definitions across various texts, which may lead to confusion for learners. The discussion does not resolve the nuances of these mathematical notations.

xusword
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Hi

I am a CS student trying to learn the basics of quantum physics. Sadly I can't even get pass the definition of Dirac notation because I do not know the meanings of some basic notations

The only thing I know is that V (superscript T) means transpose. Switch between column and row.

However, I keep seeing notations such as
V (superscript *)
V (superscript +) ==> [look more like a cross]

Can someone tell me that those mean? or maybe tell me what to read to learn about these basic notations?
 
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xusword said:
Hi

I am a CS student trying to learn the basics of quantum physics. Sadly I can't even get pass the definition of Dirac notation because I do not know the meanings of some basic notations

The only thing I know is that V (superscript T) means transpose. Switch between column and row.

However, I keep seeing notations such as
V (superscript *)
V (superscript +) ==> [look more like a cross]

Can someone tell me that those mean? or maybe tell me what to read to learn about these basic notations?

Usually, V (superscript *) means complex conjugated matrix (i.e., all entries of V are complex conjugated) and V (superscript +) means Hermitean conjugated matrix (i.e., V is transposed and complex conjugated).

You should check the exact definitions in your textbook, because some authors use different notations.

Eugene.
 
thanks for your help

actually I was reading on my own. The book I picked didnt go over such minor detail.
 
Always use multiple sources when reading on your own.
 
Just so you know, what you're having problems with are the mathematics, not the physics. These are notations typically taken from mathematics and represents mathematical operations or situations.

Zz.
 

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