trexx Posted November 25, 2011 Posted November 25, 2011 hi so, i need to understand linear vector space and how it is useful in quantum mechanics...i dont know where to post it...basically can u suggest a good buk for me..which explains the concepts clearly
DrRocket Posted November 29, 2011 Posted November 29, 2011 hi so, i need to understand linear vector space and how it is useful in quantum mechanics...i dont know where to post it...basically can u suggest a good buk for me..which explains the concepts clearly Finite-dimensional Vector Spaces by Halmos But for quantum mechanics you will also need to understand infinite-dimensional spaces, particularly Hilbert spaces. So you will also need something like Introduction to Hilbert Space and the Theory of Spectral Multiplicity, also by Halmos.
ajb Posted November 30, 2011 Posted November 30, 2011 DrRocket is right, infinite dimensional spaces are needed in quantum theory. That said, you probably should get a good feel for the finite dimensional case first. By thinking very formally, understanding the finite case will give you the ideas of infinite vector spaces.
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