LEADER 03236nam 2200649Ia 450 001 9910814888603321 005 20200520144314.0 010 $a1-281-12173-8 010 $a9786611121730 010 $a981-277-061-5 035 $a(CKB)1000000000334126 035 $a(EBL)312345 035 $a(OCoLC)476099822 035 $a(SSID)ssj0000194691 035 $a(PQKBManifestationID)11166565 035 $a(PQKBTitleCode)TC0000194691 035 $a(PQKBWorkID)10240563 035 $a(PQKB)11502365 035 $a(MiAaPQ)EBC312345 035 $a(WSP)00006441 035 $a(Au-PeEL)EBL312345 035 $a(CaPaEBR)ebr10188748 035 $a(CaONFJC)MIL112173 035 $a(OCoLC)935264144 035 $a(PPN)140761462 035 $a(EXLCZ)991000000000334126 100 $a20070608d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLow-dimensional nanoscale systems on discrete spaces$b[electronic resource] /$fErhardt Papp, Codrutza Micu 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2007 215 $a1 online resource (277 p.) 300 $aDescription based upon print version of record. 311 $a981-270-638-0 320 $aIncludes bibliographical references (p. 241-257) and index. 327 $aPreface; Contents; 1. Lattice Structures and Discretizations; 2. Periodic Quasiperiodic and Confinement Potentials; 3. Time Discretization Schemes; 4. Discrete Schrodinger Equations. Typical Examples; 5. Discrete Analogs and Lie-Algebraic Discretizations. Realizations of Heisenberg-Weyl Algebras; 6. Hopping Hamiltonians. Electrons in Electric Field; 7. Tight Binding Descriptions in the Presence of the Magnetic Field; 8. The Harper-Equation and Electrons on the 1D Ring; 9. The q-Symmetrized Harper Equation; 10. Quantum Oscillations and Interference Effects in Nanodevices; 11. Conclusions 327 $aAppendix A Dealing with polynomials of a discrete variableAppendix B The functional Bethe-ansatz solution; Bibliography; Index 330 $aThe area of low-dimensional quantum systems on discrete spaces is a rapidly growing research field lying at the interface between quantum theoretical developments, like discrete and q-difference equations, and tight binding superlattice models in solid-state physics. Systems on discrete spaces are promising candidates for applications in several areas. Indeed, the dynamic localization of electrons on the 1D lattice under the influence of an external electric field serves to describe time-dependent transport in quantum wires, linear optical absorption spectra, and the generation of higher harmo 606 $aQuantum theory 606 $aSchro?dinger equation 606 $aNanoelectromechanical systems 615 0$aQuantum theory. 615 0$aSchro?dinger equation. 615 0$aNanoelectromechanical systems. 676 $a530.12 700 $aPapp$b E$01676288 701 $aMicu$b Codrutza$01676289 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814888603321 996 $aLow-dimensional nanoscale systems on discrete spaces$94042389 997 $aUNINA