Home
Spinors in Hilbert Space by Paul Dirac, Paperback | Indigo Chapters
![Spinors in Hilbert Space by Paul Dirac, Paperback | Indigo Chapters](https://dynamic.indigoimages.ca/books/9781475700367.jpg?scaleup=true&width=600&quality=85&lang=en)
Coles
Spinors in Hilbert Space by Paul Dirac, Paperback | Indigo Chapters
From Paul Dirac
Current price: $155.95
Loading Inventory...
Size: 25.4 x 229 x 163
*Product information may vary - to confirm product availability, pricing, and additional information please contact Coles
1. Hilbert Space The words "Hilbert space" here will always denote what math ematicians call a separable Hilbert space. It is composed of vectors each with a denumerable infinity of coordinates ql' q2' Q3, .... Usually the coordinates are considered to be complex numbers and each vector has a squared length ~rIQrI2. This squared length must converge in order that the q's may specify a Hilbert vector. Let us express qr in terms of real and imaginary parts, qr = Xr + iYr' Then the squared length is l:.r(x; + y;). The x's and y's may be looked upon as the coordinates of a vector. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector. The second vector has, at first sight, twice as many coordinates as the first one. But twice a denumerable in finity is again a denumerable infinity, so the second vector has the same number of coordinates as the first. Thus a complex Hilbert vector is not a more general kind of quantity than a real one. | Spinors in Hilbert Space by Paul Dirac, Paperback | Indigo Chapters