03004cam a22004815i 4500 79761 317038 21733916 OSt 20220315120442.0 m |o d | cr ||||||||||| 190215s2018 gw |||| o |||| 0|eng 2019751631 9783319999302 10.1007/978-3-319-99930-2 doi (DE-He213)978-3-319-99930-2 DLC eng pn rda DLC PHQ bicssc PHQ thema SCI057000 bisacsh 530.12 23 IJC Izaac, Joshua, author. 89598 Computational Quantum Mechanics / by Joshua Izaac, Jingbo Wang. 1st ed. 2018. Cham : Springer International Publishing : Imprint: Springer, 2018. 1 online resource (XIII, 494 pages 1 illustrations) Undergraduate Lecture Notes in Physics, 2192-4791 Part 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. Quantum 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. Atomic structure. 39884 Molecular structure. 41309 Physics. 89599 Quantum physics. 89600 Quantum Physics. 89601 Atomic/Molecular Structure and Spectra. 88477 Numerical and Computational Physics, Simulation. 89602 Wang, Jingbo, author. 89603 Print version: Computational quantum mechanics. 9783319999296 (DLC) 2018955445 Printed edition: 9783319999296 Printed edition: 9783319999319 Undergraduate Lecture Notes in Physics, 42035 0 ibc origres u ncip 20 y-gencatlg ddc BOOK 0 2022-03-15 0 0 530.12 IJC 2022-03-15 CL 00169157 CL 2022-03-15 00:00:00 BOOK ddc 0 0 2022-03-15 0 0 530.12 IJC 2022-03-15 CL 00169158 CL 2022-03-15 00:00:00 BOOK ddc 0 0 2022-03-15 0 0 530.12 IJC 2022-03-15 CL 00169159 CL 2022-03-15 00:00:00 BOOK ddc 0 0 2022-03-15 0 0 530.12 IJC 2022-03-15 SZM 00169160 SZM 2022-03-15 00:00:00 BOOK ddc 0 0 2022-03-15 0 0 530.12 IJC 2022-03-15 SZM 00169161 SZM 2022-03-15 00:00:00 BOOK ddc 0 0 2022-03-15 0 0 530.12 IJC 2022-03-15 SRF 00169162 SRF 2022-03-15 00:00:00 BOOK ddc 0 0 2022-03-15 0 0 530.12 IJC 2022-03-15 SRM 00169163 SRM 2022-03-15 00:00:00 BOOK ddc 0