LEADER 02520nam 2200553 450 001 996466583503316 005 20220908231445.0 010 $a3-540-47548-6 024 7 $a10.1007/BFb0090864 035 $a(CKB)1000000000437137 035 $a(DE-He213)978-3-540-47548-4 035 $a(MiAaPQ)EBC5592286 035 $a(Au-PeEL)EBL5592286 035 $a(OCoLC)1066184996 035 $a(MiAaPQ)EBC6841977 035 $a(Au-PeEL)EBL6841977 035 $a(PPN)155199757 035 $a(EXLCZ)991000000000437137 100 $a20220908d1993 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNorm inequalities for derivatives and differences /$fMan K. Kwong and Anton Zettl 205 $a1st ed. 1992. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1993] 210 4$dİ1993 215 $a1 online resource (VIII, 152 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1536 311 $a0-387-56387-3 311 $a3-540-56387-3 327 $aUnit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator. 330 $aNorm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1536 606 $aFunctions of real variables 606 $aDifference equations$xNumerical solutions 615 0$aFunctions of real variables. 615 0$aDifference equations$xNumerical solutions. 676 $a515.8 700 $aKwong$b Man Kam$f1947-$059840 702 $aZettl$b Anton 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466583503316 996 $aNorm inequalities for derivatives and differences$9262374 997 $aUNISA LEADER 04086nam 22006735 450 001 9910254588503321 005 20200706011646.0 010 $a3-319-66447-6 024 7 $a10.1007/978-3-319-66447-7 035 $a(CKB)4100000000882496 035 $a(DE-He213)978-3-319-66447-7 035 $a(MiAaPQ)EBC5091997 035 $a(PPN)220126151 035 $a(EXLCZ)994100000000882496 100 $a20171005d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCircuit Cavity QED with Macroscopic Solid-State Spin Ensembles /$fby Stefan Putz 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVIII, 124 p. 75 illus., 65 illus. in color.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a3-319-66446-8 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPart 1: Physical Principles -- Con?ned Electromagnetic Waves -- Spins in the Cavity?Cavity QED -- Part II: Experimental Realization -- Experimental Implementation?Solid-State Hybrid Quantum System -- Part III: Main Results -- Collective Spin States Coupled to a Single Mode Cavity?Strong Coupling -- Spin Ensembles and Decoherence in the Strong-Coupling Regime?Cavity Protection -- Engineering of long-lived Collective Dark States?Spectral Hole Burning -- Amplitude Bistability with inhomogeneous Spin Broadening?Driven Tavis-Cummings -- Spin Echo Spectroscopy?Spin Refocusing -- Conclusion and Outlook. 330 $aThis thesis combines quantum electrical engineering with electron spin resonance, with an emphasis on unraveling emerging collective spin phenomena. The presented experiments, with first demonstrations of the cavity protection effect, spectral hole burning and bistability in microwave photonics, cover new ground in the field of hybrid quantum systems. The thesis starts at a basic level, explaining the nature of collective effects in great detail. It develops the concept of Dicke states spin-by-spin, and introduces it to circuit quantum electrodynamics (QED), applying it to a strongly coupled hybrid quantum system studied in a broad regime of several different scenarios. It also provides experimental demonstrations including strong coupling, Rabi oscillations, nonlinear dynamics, the cavity protection effect, spectral hole burning, amplitude bistability and spin echo spectroscopy. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aQuantum computers 606 $aSpintronics 606 $aSuperconductivity 606 $aSuperconductors 606 $aQuantum theory 606 $aSolid state physics 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 615 0$aQuantum computers. 615 0$aSpintronics. 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 0$aQuantum theory. 615 0$aSolid state physics. 615 14$aQuantum Information Technology, Spintronics. 615 24$aStrongly Correlated Systems, Superconductivity. 615 24$aQuantum Physics. 615 24$aSolid State Physics. 676 $a530.1433 700 $aPutz$b Stefan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0818829 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254588503321 996 $aCircuit Cavity QED with Macroscopic Solid-State Spin Ensembles$91825404 997 $aUNINA