LEADER 05397nam 22008055 450 001 9910299990703321 005 20220413175644.0 010 $a3-319-01427-7 024 7 $a10.1007/978-3-319-01427-2 035 $a(CKB)3710000000202665 035 $a(EBL)1782099 035 $a(OCoLC)894170025 035 $a(SSID)ssj0001297715 035 $a(PQKBManifestationID)11768312 035 $a(PQKBTitleCode)TC0001297715 035 $a(PQKBWorkID)11229466 035 $a(PQKB)11211455 035 $a(MiAaPQ)EBC1782099 035 $a(DE-He213)978-3-319-01427-2 035 $a(PPN)179926772 035 $a(EXLCZ)993710000000202665 100 $a20140717d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMulti-band effective mass approximations $eadvanced mathematical models and numerical techniques /$fedited by Matthias Ehrhardt, Thomas Koprucki 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (337 p.) 225 1 $aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v94 300 $aDescription based upon print version of record. 311 $a3-319-01426-9 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- Part I: Physical Models -- Part II: Numerical Methods -- Part III: Applications -- Part IV: Advanced Mathematical Topics. 330 $aThis book addresses several mathematical models from the most relevant class of kp-Schrödinger systems. Both mathematical models and state-of-the-art numerical methods for adequately solving the arising systems of differential equations are presented. The operational principle of modern semiconductor nano structures, such as quantum wells, quantum wires or quantum dots, relies on quantum mechanical effects. The goal of numerical simulations using quantum mechanical models in the development of semiconductor nano structures is threefold: First they are needed for a deeper understanding of experimental data and of the operational principle. Secondly, they allow us to predict and optimize in advance the qualitative and quantitative properties of new devices in order to minimize the number of prototypes needed. Semiconductor nano structures are embedded as an active region in semiconductor devices. Thirdly and finally, the results of quantum mechanical simulations of semiconductor nano structures can be used with upscaling methods to deliver parameters needed in semi-classical models for semiconductor devices, such as quantum well lasers. This book covers in detail all these three aspects using a variety of illustrative examples. Readers will gain detailed insights into the status of the multiband effective mass method for semiconductor nano structures. Both users of the kp method as well as advanced researchers who want to advance the kp method further will find helpful information on how to best work with this method and use it as a tool for characterizing the physical properties of semiconductor nano structures. The book is primarily intended for graduate and Ph.D. students in applied mathematics, mathematical physics and theoretical physics, as well as all those working in quantum mechanical research or the semiconductor / opto-electronic industry who are interested in new mathematical aspects. 410 0$aLecture Notes in Computational Science and Engineering,$x1439-7358 ;$v94 606 $aComputer mathematics 606 $aMathematical physics 606 $aPhysics 606 $aQuantum physics 606 $aPartial differential equations 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aComputer mathematics. 615 0$aMathematical physics. 615 0$aPhysics. 615 0$aQuantum physics. 615 0$aPartial differential equations. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aMathematical Methods in Physics. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aQuantum Physics. 615 24$aPartial Differential Equations. 676 $a515 702 $aEhrhardt$b Matthias$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKoprucki$b Thomas$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299990703321 996 $aMulti-band effective mass approximations$91410189 997 $aUNINA