I Bracket VS wavefunction notation in QM

olgerm

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Since my intention is to understand bracket notation(and its relation to normal notation), I did not formulate my equations by using bracket notation, but I used normal convetional mathematical notations. I used as simple notation as I could and explained meaning of some symbols.
 
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I used as simple notation as I could and explained meaning of some symbols.
And yet it's convoluted and unreadable.
 

olgerm

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Main point is that for every possible arguments ##a_{arguments\ of\ wavefunction}## there is one basefunction that is 1 with these arguments and 0 with other arguments.
 
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The terminology and notation you're using is not standard, nobody really understands what you're saying. Look at a typical QM or linear algebra textbook and use the notation and terminology that they use in there.
 

vanhees71

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Since my intention is to understand bracket notation(and its relation to normal notation), I did not formulate my equations by using bracket notation, but I used normal convetional mathematical notations. I used as simple notation as I could and explained meaning of some symbols.
Again to put it very clearly: You don't use anything, I've ever seen in the literature. It's unreadable. I don't even know, what you want to write!

You can write QT completely without bras and kets. E.g., Weinberg doesn't use the bra-ket notation at all. However his books are highly readable (and among the best newer textbooks I'm aware of).
 

olgerm

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Which symbols you do not undersatand? I did not invent any original notation, but used mathematical normal notation. I really do not know how to express these relations using more ordinary notation.
If you really do not understand - can you describe me a example of basevectors. by writing
## \vec{e_{base}} [i ] = ... ##, where ## \vec{e_{base}} ##, is i'th basevector. Maybe I could reformulate my equations to be similar to yours.
 
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