000 04263nam a22005895i 4500
001 978-3-031-53816-2
003 DE-He213
005 20251030112003.0
007 cr nn 008mamaa
008 240422s2024 sz | s |||| 0|eng d
020 _a9783031538162
_9978-3-031-53816-2
024 7 _a10.1007/978-3-031-53816-2
_2doi
050 4 _aQC610.9-611.8
072 7 _aTJFD5
_2bicssc
072 7 _aSCI077000
_2bisacsh
072 7 _aTJFD
_2thema
100 1 _aChowdhury, Sujaul.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_965556
245 1 0 _aNumerical Exploration of Isolated GaAs-AlGaAs Quantum Well
_h[electronic resource] /
_cby Sujaul Chowdhury, Urmi Talukder.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aVIII, 91 p. 69 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
505 0 _aBackground on Microelectronics -- Background on Semiconductor Nanostructure Physics -- Numerical Calculation of Energy Spectrum of GaAs-AlGaAs Quantum Well Having Abrupt Potential Steps Using Regula Falsi Method -- Numerical calculation of Energy Spectrum of GaAs-AlGaAs Quantum Well Having Abrupt Potential Steps Using Finite Difference Method -- Numerical Calculation of Energy Spectrum of Parabolic Quantum Well of Finite Depth Using Finite Difference Method.
520 _aThis book begins with the eigenvalue equation of energy and presents calculation of the energy spectrum of GaAs-AlGaAs Quantum Well using finite difference method and knowledge of potential energy profile, without using expressions for eigenfunctions, continuity of eigenfunctions, or their spatial derivatives at the two abrupt potential steps. The authors find that the results are almost the same as those obtained by solving numerically using regula falsi method, and transcendental equations that are obeyed by the energy levels, where the transcendental equations are obtained by requiring continuity of eigenfunctions and of their spatial derivatives at the two potential steps. Thus, this book confirms that it is possible to numerically calculate the energy spectrum of Quantum Well by the finite difference method when it is not correct or when it is not possible to use continuity of eigenfunctions and their spatial derivatives at the two abrupt potential steps. The authors also show that it is possible to use the finite difference method in cases where the potential steps are non-abrupt. The book demonstrates this by calculating the energy spectrum of isolated parabolic Quantum Well of finite depth using finite difference method. In addition, this book: Presents innovative research on alternative methods of calculating the energy spectrum of GaAs-AlGaAs Quantum Well Includes confirmation of the authors’ results by comparing them to the standard calculation techniques Highlights the opportunities for further use of the finite difference method in nanostructure physics.
650 0 _aSemiconductors.
_969883
650 0 _aNanoscience.
_965329
650 0 _aNanotechnology.
650 0 _aMathematical physics.
650 0 _aPhysics.
_961293
650 1 4 _aSemiconductors.
_969883
650 2 4 _aNanophysics.
_967377
650 2 4 _aNanometrology.
_975490
650 2 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aApplied and Technical Physics.
_966108
650 2 4 _aNanoengineering.
700 1 _aTalukder, Urmi.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_975491
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031538155
776 0 8 _iPrinted edition:
_z9783031538179
776 0 8 _iPrinted edition:
_z9783031538186
830 0 _aSynthesis Lectures on Engineering, Science, and Technology,
_x2690-0327
856 4 0 _uhttps://doi.org/10.1007/978-3-031-53816-2
912 _aZDB-2-SXSC
999 _c59264
_d59264