9780805367027
Unitary Groups Representations In Physics, Probability, And Number Theory - George Whitelaw Mackey
Benjamin/Cummings Publishing (1978)
In Collection
#6509

Read It:
Yes
Mathematical physics, Number theory, Numbers, Theory Of, Probabilities, Probability

This is a classic - someone should reprint it. Quantum theory is all about Hilbert spaces, so when you combine quantum theory with the all-important concept of symmetry, you get the concept of a unitary group representation on a Hilbert space. The fact that we can classify the unitary representations of our favorite symmetry groups is what makes physics what it is today! The periodic table, the classification of elementary particles, and so on - all these involve classifying unitary group representations. Mackey is a mathematician at Harvard who spent his life studying and developing this subject, he knows it inside and out... and in this book, he tells you what he knows.

After 100 pages devoted to the general theory of unitary group representations, he tackles applications to ergodic theory, probability theory, the foundations of quantum mechanics, the quantum mechanics of one-particle systems, particle interactions, bound states and the structure of matter, the S-matrix, radiation, special relativity, quantum field theory, temperature, heat, thermodynamics, statistical mechanics and the many-body problem, Fourier analysis, and number theory, including Diophantine equations, algebraic number fields, and automorphic forms.

Product Details
LoC Classification QA171 .M173
Dewey 512/.2
No. of Pages 424
Height x Width 250 mm