02823cam a22004455i 450000100090000000300040000900500170001300600190003000700150004900800410006401000170010502000180012202400350014003500320017504000270020707200160023407200150025007200230026508200200028810000280030824500690033625000180040526400750042330000560049849000550055450504820060952008570109165000220194865000250197065000130199565000210200865000210202965000440205065000530209470000270214777600870217477600360226177600360229783000440233321733916OSt20220315120442.0m |o d | cr |||||||||||190215s2018 gw |||| o |||| 0|eng  a 2019751631 a97833199993027 a10.1007/978-3-319-99930-22doi a(DE-He213)978-3-319-99930-2 aDLCbengepnerdacDLC 7aPHQ2bicssc 7aPHQ2thema 7aSCI0570002bisacsh04a530.12223bIJC1 aIzaac, Joshua,eauthor.10aComputational Quantum Mechanics /cby Joshua Izaac, Jingbo Wang. a1st ed. 2018. 1aCham :bSpringer International Publishing :bImprint: Springer,c2018. a1 online resource (XIII, 494 pages 1 illustrations)1 aUndergraduate Lecture Notes in Physics,x2192-47910 aPart I Scientific programming: an introduction for physicists: Numbers and precision -- Fortran -- Python -- Part II Numerical methods for quantum physics: Finding roots -- Differentiation and initial value problems -- Numerical integration -- The eigenvalue problem -- The Fourier transform -- PART III Solving the Schrödinger equation: One dimension -- Higher dimensions and basic techniques -- Time propagation -- Central potentials -- Multi-electron systems -- Exercises. aQuantum mechanics undergraduate courses mostly focus on systems with known analytical solutions; the finite well, simple Harmonic, and spherical potentials. However, most problems in quantum mechanics cannot be solved analytically. This textbook introduces the numerical techniques required to tackle problems in quantum mechanics, providing numerous examples en route. No programming knowledge is required - an introduction to both Fortran and Python is included, with code examples throughout. With a hands-on approach, numerical techniques covered in this book include differentiation and integration, ordinary and differential equations, linear algebra, and the Fourier transform. By completion of this book, the reader will be armed to solve the Schrödinger equation for arbitrarily complex potentials, and for single and multi-electron systems. 0aAtomic structure. 0aMolecular structure. 0aPhysics. 0aQuantum physics.14aQuantum Physics.24aAtomic/Molecular Structure and Spectra.24aNumerical and Computational Physics, Simulation.1 aWang, Jingbo,eauthor.08iPrint version:tComputational quantum mechanics.z9783319999296w(DLC) 201895544508iPrinted edition:z978331999929608iPrinted edition:z9783319999319 0aUndergraduate Lecture Notes in Physics,