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Post Closed as "Needs details or clarity" by BioPhysicist, Jon Custer, Michael Seifert, jng224, glS
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Anuj Tanwar
Anuj Tanwar
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How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Could it be that we multiplyapply the closure property to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Is it even a correct method. Please help.

How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Could it be that we multiply the closure property to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Is it even a correct method. Please help.

How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Could it be that we apply the closure property to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Is it even a correct method. Please help.

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Anuj Tanwar
Anuj Tanwar
  • 45
  • 5

How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

couldCould it be that we multiply the outer productclosure property to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\sum_{a'}\langle a'|A|a'\rangle\delta_{a'a''}$$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

but I have not idea that where will the summation go and isIs it even a correct method. Please help.

**

How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

could it be that we multiply the outer product to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\sum_{a'}\langle a'|A|a'\rangle\delta_{a'a''}$

but I have not idea that where will the summation go and is it even a correct method. Please help.

**

How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Could it be that we multiply the closure property to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

Is it even a correct method. Please help.

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Anuj Tanwar
Anuj Tanwar
  • 45
  • 5

howHow is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

could it be that we multiply the outer product to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\sum_{a'}\langle a'|A|a'\rangle\delta_{a'a''}$

but I have not idea that where will the summation go and is it even a correct method. Please help.

**

how is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

How is the square matrix $\langle a''|A|a'\rangle=\langle a'|A|a'\rangle\delta_{a'a''}$

could it be that we multiply the outer product to it like

$\langle a''|A|a'\rangle=\sum_{a'}\langle a''|A|a'\rangle|a'\rangle\langle a'|=\sum_{a'}\langle a''|a'\rangle A\langle a'|a'\rangle=\sum_{a'}\langle a'|A|a'\rangle\delta_{a'a''}$

but I have not idea that where will the summation go and is it even a correct method. Please help.

**

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Anuj Tanwar
Anuj Tanwar
  • 45
  • 5