Carte Intermediate Spectral Theory and Quantum Dynamics César R. de Oliveira

Intermediate Spectral Theory and Quantum Dynamics

Limbă: engleză
Legare: Copertă tare
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
550.27 lei
The spectral theory of linear operators plays a key role in the mathematical formulation of quantum...

Informații despre carte

Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2008
Pagini
410
EAN
9783764387945
ISBN
3764387947
Enbook ID
01717119
Greutate
844
Dimensiuni
155 x 235 x 28

Descriere completă

The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory. Furthermore, such a rigorous mathematical foundation leads to a more profound insight into the nature of quantum mechanics. This textbook provides a concise and comprehensible introduction to the spectral theory of (unbounded) self-adjoint operators and its application in quantum dynamics. §The book places emphasis on the symbiotic relationship of these two domains by (1) presenting the basic mathematics of nonrelativistic quantum mechanics of one particle, i.e., developing the spectral theory of self-adjoint operators in infinite-dimensional Hilbert spaces from the beginning, and (2) giving an overview of many of the basic functional aspects of quantum theory, from its physical principles to the mathematical models.§The book is intended for graduate (or advanced undergraduate) students and researchers interested in mathematical physics. It starts with linear operator theory, spectral questions and self-adjointness, and ends with the effect of spectral type on the large time behaviour of quantum systems. Many examples and exercises are included that focus on quantum mechanics.

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