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Sayfa 183
2 CLASSICAL LIMIT OF THE QUANTUM ARNOL'D CAT : A COMPREHENSIVE
TREATMENT MIRKO DEGLI ESPOSTI , SANDRO GRAFFI , AND STEFANO
ISOLA CONTENTS ŞO . Introduction $ 1 . Basic definitions , notation , and
statement ...
2 CLASSICAL LIMIT OF THE QUANTUM ARNOL'D CAT : A COMPREHENSIVE
TREATMENT MIRKO DEGLI ESPOSTI , SANDRO GRAFFI , AND STEFANO
ISOLA CONTENTS ŞO . Introduction $ 1 . Basic definitions , notation , and
statement ...
Sayfa 185
... Ke2 , Ke3 , PV ] ; if representations and classical limits are ignored , but ,
instead , the torus is a configuration space , the corresponding quantum system
can be studied as a pure Weyl algebra automorphism also for h irrational ( BNS ,
N ) .
... Ke2 , Ke3 , PV ] ; if representations and classical limits are ignored , but ,
instead , the torus is a configuration space , the corresponding quantum system
can be studied as a pure Weyl algebra automorphism also for h irrational ( BNS ,
N ) .
Sayfa 187
Definitions 1 and 2 result from direct quantization of the classical definitions : m -
1 1 ( 1.3 ) lim m0 m k = 0 Ef ( A * r ) = f due ( ergodicity ) , and m - 1 - mm k = 0 (
1.4 ) lim | 5 ( Aor ) g ( 5 ) dų = lim lim f ( Ak + ex ) g ( A * x ) = ( im - E14A * 2 ) ( tim
...
Definitions 1 and 2 result from direct quantization of the classical definitions : m -
1 1 ( 1.3 ) lim m0 m k = 0 Ef ( A * r ) = f due ( ergodicity ) , and m - 1 - mm k = 0 (
1.4 ) lim | 5 ( Aor ) g ( 5 ) dų = lim lim f ( Ak + ex ) g ( A * x ) = ( im - E14A * 2 ) ( tim
...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector