Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations: Representation-theoretical Viewpoint for Quantum Phenomena

· Springer Nature
E-raamat
493
lehekülge
Hinnangud ja arvustused pole kinnitatud.  Lisateave

Teave selle e-raamatu kohta

Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. There are many interesting physical phenomena which can be more clearly understood from a representation–theoretical viewpoint with CCR or CAR. This book provides an introduction to representation theories of CCR and CAR in view of quantum physics. Particular emphases are put on the importance of inequivalent representations of CCR or CAR, which may be related to characteristic physical phenomena. The topics presented include general theories of representations of CCR and CAR with finite and infinite degrees of freedom, the Aharonov–Bohm effect, time operators, quantum field theories based on Fock spaces, Bogoliubov transformations, and relations of infinite renormalizations with inequivalent representations of CCR. This book can be used as a text for an advanced topics course in mathematical physics or mathematics.

Hinnake seda e-raamatut

Andke meile teada, mida te arvate.

Lugemisteave

Nutitelefonid ja tahvelarvutid
Installige rakendus Google Play raamatud Androidile ja iPadile/iPhone'ile. See sünkroonitakse automaatselt teie kontoga ja see võimaldab teil asukohast olenemata lugeda nii võrgus kui ka võrguühenduseta.
Sülearvutid ja arvutid
Google Playst ostetud audioraamatuid saab kuulata arvuti veebibrauseris.
E-lugerid ja muud seadmed
E-tindi seadmetes (nt Kobo e-lugerid) lugemiseks peate faili alla laadima ja selle oma seadmesse üle kandma. Failide toetatud e-lugeritesse teisaldamiseks järgige üksikasjalikke abikeskuse juhiseid.