02925nam a22002297a 4500003001700000005001700017008004100034020001800075040000700093041001200100082001700112100003400129245006500163260003300228300002600261365006400287520212200351650003902473942001202512999001902524952015202543St Aloysius Coll20260305173126.0260303b        |||||||| |||| 00| 0 eng d  a9780198961505  cAL  aEnglish  a530.12bMANP  aEfstratios Manousakis9257492  aPractical quantum mechanicsb: modern tools and applications  aUK bOxford Universityc2016  axv,332pbPBc23x15cm.  2Generala6261b₹1196.00c₹d₹1495.00e20%f23/02/2026  aQuantum mechanics forms the foundation of all modern physics, including atomic, nuclear, and molecular physics, the physics of the elementary particles, condensed matter physics. Modern astrophysics also relies heavily on quantum mechanics. Quantum theory is needed to understand the basis for new materials, new devices, the nature of light coming from stars, the laws which govern the atomic nucleus, and the physics of biological systems. As a result, the subject of this book is a required course for most physics graduate students. While there are many books on the subject, this book targets specifically graduate students and it is written with modern advances in various fields in mind. Many examples treated in the various chapters as well as the emphasis of the presentation in the book are designed from the perspective of such problems. For example, the book begins by putting the Schrodinger equation on a spatial discrete lattice and the continuum limit is also discussed, inspired by Hamiltonian lattice gauge theories. The latter and advances in quantum simulations motivated the inclusion of the path integral formulation. This formulation is applied to the imaginary-time evolution operator to project the exact ground state of the harmonic oscillator as is done in quantum simulations. As an example of how to take advantage of symmetry in quantum mechanics, one-dimensional periodic potentials are discussed, inspired by condensed matter physics. Atoms and molecules are discussed within mean-field like treatment (Hartree-Fock) and how to go beyond it. Motivated by the recent intense activity in condensed matter and atomic physics to study the Hubbard model, the electron correlations in the hydrogen molecule are taken into account by solving the two-site Hubbard model analytically. Using the canonical Hamiltonian quantization of quantum electrodynamics, the photons emerge as the quanta of the normal modes, in the same way as the phonons emerge in the treatment of the normal modes of the coupled array of atoms. This is used later to treat the interaction of radiation with atomic matter.  2PhysicsaQuantum Mechanics9257493  2ddccBK  c240988d240988  00102ddc40708PHYaSACPGbSACPGd2026-02-26eBiblios Book Pointg1196.00l0o530.12 MANPpPG025220r2026-03-03 14:06:18v1495.00w0000-00-00yBK