- #1
gentsagree
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In the same way one can show that [itex]\nabla^{2}\theta=0[/itex] has only one smooth solution, namely [itex]\theta=0[/itex], I would like to show that
[tex]\gamma^{i}\partial_{i}\epsilon=0[/tex] has only one smooth solution, where [itex]\gamma^{i}[/itex] is a Dirac gamma matrix (or an element of the Clifford algebra), and [itex]\epsilon[/itex] is a spinorial quantity (which may or may not be relevant to finding a smooth solution, I am not sure).
Any advice?
Also can anyone recommend a book that treats formally (and clearly, possibly) a procedure for finding unique/smooth solutions to equations.
Thanks.
[tex]\gamma^{i}\partial_{i}\epsilon=0[/tex] has only one smooth solution, where [itex]\gamma^{i}[/itex] is a Dirac gamma matrix (or an element of the Clifford algebra), and [itex]\epsilon[/itex] is a spinorial quantity (which may or may not be relevant to finding a smooth solution, I am not sure).
Any advice?
Also can anyone recommend a book that treats formally (and clearly, possibly) a procedure for finding unique/smooth solutions to equations.
Thanks.