Question:
What is the connection between Quantum Mechanics and
Hyperspace have to do with the use of matrices and matrix algebra?
Replies:
Wave functions which descripe the various quantum states can be
represented by a matrix.
In real calculations these matrices are very large, several hundreds
rows and columns. Hence thousands of elements.
Manipulation of these matrices requires computers which have to be
programmable to deal with all sorts of algebra tricks to make the
problems feasible.
The manipulations finally yield, energies of the quantum states and
wavefunctions.
These are all very important in understanding a wide variety of
materials.
Dr. Myron
I don't know about hyperspace, but QM is based on the notion of a vector space.
Everything observable in the real world is calculated as the inner product
of two vectors, one of which has been operated on (multiplied by a matrix) by
an operator that represents the observable. Frequently, its not merely a
single
product, but a sum over such products involving all the basis vectors in the
space.
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