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[4] (./kapitola1.tex
Kapitola 1.
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Kapitola 2.
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[][]\T1/cmr/bx/n/12 Cvi?en? 15. []\T1/cmr/m/it/12 Nech? $\OML/cmm/m/it/12 V\OT1
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Kapitola 3.
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[]\T1/cmr/m/n/12 D?le?it?m po-jmem v te-o-rii Hil-ber-to-v?ch pro-stor?, kter? 
mno-ho-kr?t vy-u-?i-jeme, je tzv. or-
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\T1/cmr/m/n/12 noty li-bo-voln? me-cha-nick? ve-li-?iny (ener-gie, mo-mentu hyb
-nosti,...). Stav sys-t?mu (nap?. jedn?
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\T1/cmr/m/n/12 ope-r?-tor? p?ed-sta-vuj? sa-mo-sdru-?en? ope-r?-tory. Je-jich d
e-fi-nice vy-ch?z? z n?-sle-du-j?-c?ho faktu: 
 []

[32]) [33] (./kapitola4.tex
Kapitola 4.
[34


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Kapitola 5.
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\T1/cmr/bx/n/12 je stav ??s-tice po-ps?n spo-le?-n?m vlast-n?m vek-to-rem $\OML
/cmm/m/it/12  []$ \T1/cmr/bx/n/12 ope-r?-tor? $[]\OML/cmm/m/it/12 ; [] ; []$\T1
/cmr/bx/n/12 ,
 []

) [44] (./kapitola6.tex
Kapitola 6.
[45


] [46] [47] [48] [49] [50] [51] [52] [53]) [54] (./kapitola7.tex
Kapitola 7.
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Kapitola 8.
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[66] [67]) [68] (./kapitola9.tex
Kapitola 9.
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Kapitola 10.

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\T1/cmr/m/n/12 m??eme od-vo-dit za-cho-v?n? normy vl-nov? funkce $\OML/cmm/m/it
/12  \OT1/cmr/m/n/12 ([]\OML/cmm/m/it/12 ; t\OT1/cmr/m/n/12 )$ \T1/cmr/m/n/12 z
 tzv. \T1/cmr/m/it/12 rov-nice kon-ti-nu-ity\T1/cmr/m/n/12 . Definujeme-
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\T1/cmr/m/n/12 Poznamenejme, ?e v?-raz ([][]10.9[][]) nen? nic ji-n?ho, ne? z?-
pis p?ed-cho-z?ho vztahu v $\OML/cmm/m/it/12 x$\T1/cmr/m/n/12 -reprezentaci. 
 []


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[83]) [84] (./kapitola11.tex
Kapitola 11.
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[]\T1/cmr/m/n/12 P?echod k vl-no-v?m funk-c?m [] zna-men? p?e-chod od Hil-ber-t
ova pro-storu $\OML/cmm/m/it/12 L[]\OT1/cmr/m/n/12 (\U/msb/m/n/12 R[]\OML/cmm/m
/it/12 ; \OT1/cmr/m/n/12 d[]\OML/cmm/m/it/12 x\OT1/cmr/m/n/12 )$
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\T1/cmr/m/n/12 jsou vlast-n?mi funk-cemi Pau-liho ha-mil-to-ni-?nu od-po-v?-da-
j?-c?mi vlast-n?m hod-no-t?m $\OML/cmm/m/it/12 E[] \OT1/cmr/m/n/12 =
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Kapitola 12.
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[]\T1/cmr/m/n/12 Jsou-li mno-?iny $[]$ a $[]$ ON baze v $\OMS/cmsy/m/n/12 H[]$ 
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[]
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[][][]\OMS/cmsy/m/n/12 j\OML/cmm/m/it/12 l[]; l[]; l[] \OT1/cmr/m/n/12 + \OML/c
mm/m/it/12 l[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 1\OML/cmm/m/it/12 ; l[] \OT
1/cmr/m/n/12 + \OML/cmm/m/it/12 l[] \OMS/cmsy/m/n/12 ^^@ \OT1/cmr/m/n/12 1\OMS/
cmsy/m/n/12 i \OT1/cmr/m/n/12 = [] [] \OML/cmm/m/it/12 :
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\T1/cmr/m/n/12 cel-ko-v?ho mo-mentu hyb-nosti s da-n?mi kvan-to-v?mi ??sly $\OM
L/cmm/m/it/12 j$ \T1/cmr/m/n/12 a $\OML/cmm/m/it/12 m$ \T1/cmr/m/n/12 je rovna 
$\OMS/cmsy/m/n/12 j\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 l[]; l[]; m[]; m[]\OMS/cms
y/m/n/12 j\OML/cmm/m/it/12 j; m\OT1/cmr/m/n/12 )\OMS/cmsy/m/n/12 j[]$\T1/cmr/m/
n/12 .
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Kapitola 13.
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[][][][]\OML/cmm/m/it/12 S \OMS/cmsy/m/n/12 ^^A []\OML/cmm/m/it/12 L\OMS/cmsy/m
/n/12 j\OML/cmm/m/it/12 N; l; j; m\OMS/cmsy/m/n/12 i \OT1/cmr/m/n/12 = [] [] \O
MS/cmsy/m/n/12 j\OML/cmm/m/it/12 N; l; j; m\OMS/cmsy/m/n/12 i \OT1/cmr/m/n/12 =
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m/n/12 i\OML/cmm/m/it/12 :
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Kapitola 14.
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