LEADER 01152nam0-22003371i-450- 001 990007092310403321 005 20020611 035 $a000709231 035 $aFED01000709231 035 $a(Aleph)000709231FED01 035 $a000709231 100 $a20020611d1927----km-y0itay50------ba 101 0 $ager 102 $aDE 105 $ay---n---001yy 200 1 $aHandelsgesetzbuch mit Nebengesetzen$esystematische Sammlung der handelsrechtlichen Gesetzgebung des Deutschen Reiches$ftextausgabe mit Verweisungen und Sachregister [herausgegeben unter Mitwirkung von] Fritz Cahn-Garnier von Heinrich Hoeniger 210 $a[Berlin$cJ. Bensheimer]$d1927 215 $aLXIII, 989 p.$d24 cm 225 1 $aSammlung deutscher Gesetze$v124 300 $aL'esemplare manca del frontespizio e delle pp. I-XIV 676 $a346$v20$zita 702 1$aCahn-Garnier,$bFritz 702 1$aHoeniger,$bHeinrich 710 01$aGermania$0259201 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007092310403321 952 $aVIII Z 36$b17226$fFGBC 959 $aFGBC 996 $aHandelsgesetzbuch mit Nebengesetzen$9704548 997 $aUNINA LEADER 04099nam 2200601 450 001 9910796637103321 005 20230814221555.0 010 $a3-11-051522-9 024 7 $a10.1515/9783110515367 035 $a(CKB)4100000001044533 035 $a(MiAaPQ)EBC5159086 035 $a(DE-B1597)472773 035 $a(OCoLC)1013740517 035 $a(DE-B1597)9783110515367 035 $a(Au-PeEL)EBL5159086 035 $a(CaPaEBR)ebr11473983 035 $a(EXLCZ)994100000001044533 100 $a20171222h20182018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aOscillatory models in general relativity /$fEsra Russell, Oktay K. Pashaev 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2018. 210 4$dİ2018 215 $a1 online resource (154 pages) 225 1 $aDe Gruyter Studies in Mathematical Physics,$x21943532 ;$vVolume 41 311 $a3-11-051495-8 311 $a3-11-051536-9 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tIntroduction -- $tPart I: Dissipative geometry and general relativity theory -- $t1. Pseudo-Riemannian geometry and general relativity -- $t2. Dynamics of universe models -- $t3. Anisotropic and homogeneous universe models -- $t4. Metric waves in a nonstationary universe and dissipative oscillator -- $t5. Bosonic and fermionic models of a Friedman-Robertson-Walker universe -- $t6. Time dependent constants in an oscillatory universe -- $tPart II: Variational principle for time dependent oscillations and dissipations -- $t7. Lagrangian and Hamilton descriptions -- $t8. Damped oscillator: classical and quantum theory -- $t9. Sturm-Liouville problem as a damped oscillator with time dependent damping and frequency -- $t10. Riccati representation of time dependent damped oscillators -- $t11. Quantization of the harmonic oscillator with time dependent parameters -- $tBibliography -- $tIndex 330 $aThe book employs oscillatory dynamical systems to represent the Universe mathematically via constructing classical and quantum theory of damped oscillators. It further discusses isotropic and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with variable parameters is associated with classical special functions of mathematical physics. Combining principles with observations in an easy to follow way, it inspires further thinking for mathematicians and physicists. ContentsPart I: Dissipative geometry and general relativity theoryPseudo-Riemannian geometry and general relativityDynamics of universe modelsAnisotropic and homogeneous universe modelsMetric waves in a nonstationary universe and dissipative oscillatorBosonic and fermionic models of a Friedman-Robertson-Walker universeTime dependent constants in an oscillatory universe Part II: Variational principle for time dependent oscillations and dissipationsLagrangian and Hamilton descriptionsDamped oscillator: classical and quantum theorySturm-Liouville problem as a damped oscillator with time dependent damping and frequencyRiccati representation of time dependent damped oscillatorsQuantization of the harmonic oscillator with time dependent parameters 410 0$aDe Gruyter studies in mathematical physics ;$vVolume 41. 606 $aCosmic physics 606 $aOscillations 606 $aStellar oscillations 606 $aGeneral relativity (Physics) 615 0$aCosmic physics. 615 0$aOscillations. 615 0$aStellar oscillations. 615 0$aGeneral relativity (Physics) 676 $a523.01 686 $aUF 5000$qhdub$2rvk 700 $aRussell$b Esra$f1979-$01483554 702 $aPashaev$b O. K. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796637103321 996 $aOscillatory models in general relativity$93701718 997 $aUNINA