Geometric Quantization in Action: Applications of Harmonic Analysis in Quantum Statistical Mechanics and Quantum Field TheorySpringer Science & Business Media, 31 дек. 1982 г. - Всего страниц: 356 Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then, is that they can't see the problem. one day, perhaps you will fmd the final question. G. K. Chesterton, The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geo metry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical progmmming profit from homotopy theory; Lie algebras are relevant to fIltering; and prediction and electrical engineering can use Stein spaces. |
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Другие издания - Просмотреть все
Geometric Quantization in Action: Applications of Harmonic Analysis in ... N.E. Hurt Ограниченный просмотр - 2012 |
Geometric Quantization in Action: Applications of Harmonic Analysis in ... N.E. Hurt Недоступно для просмотра - 1982 |
Geometric Quantization in Action: Applications of Harmonic Analysis in ... N.E. Hurt Недоступно для просмотра - 2011 |
Часто встречающиеся слова и выражения
a₁ abelian adjoint asymptotic automorphic forms Borel-Weil C-space called Cartan Chapter coadjoint cohomology commutes compact complex manifold Consider contact manifold contact structure COROLLARY curvature decomposition defined DEFINITION denote diffeomorphism dimension dimensional discrete series eigenvalues element EXAMPLE EXERCISE finite g in G geodesic geometric quantization given group G Hamiltonian Hermitian Hilbert space holomorphic integral invariant irreducible representation irreducible unitary representation isomorphic Kähler Kirillov Let G Lie algebra line bundle linear Math matrix metric multiplicity noncompact orbit space partition function Phys polarization Proof Quantum Mechanics quantum statistical mechanics reader representation of G roots satisfies Selberg trace formula semisimple Lie group Show simply connected smooth subalgebra subgroup of G subspace symmetric space symplectic manifold THEOREM unitary representation vector bundle vector field Weyl zeta function
Популярные отрывки
Стр. 335 - Yu. I. MANIN, Steklov Institute of Mathematics, Moscow, USSR AHG RINNOOY KAN, Erasmus University, Rotterdam, The Netherlands G.-C. ROTA, MIT. Cambridge. Mass.. USA 1 . Willem Kuyk, Complementarity in Mathematics, A First Introduction to the Foundations of Mathematics and Its History.