04209nam 22007575 450 99621126620331620200704115755.03-319-13006-410.1007/978-3-319-13006-4(CKB)3710000000325009(SSID)ssj0001408328(PQKBManifestationID)11826109(PQKBTitleCode)TC0001408328(PQKBWorkID)11347438(PQKB)11597024(DE-He213)978-3-319-13006-4(MiAaPQ)EBC6303499(MiAaPQ)EBC5579745(Au-PeEL)EBL5579745(OCoLC)899490610(PPN)258846399(PPN)183152069(EXLCZ)99371000000032500920141218d2015 u| 0engurnn|008mamaatxtccrNon-perturbative Description of Quantum Systems[electronic resource] /by Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XV, 362 p. 63 illus., 43 illus. in color.) Lecture Notes in Physics,0075-8450 ;894Bibliographic Level Mode of Issuance: Monograph3-319-13005-6 Includes bibliographical references and index.Capabilities of approximate methods in quantum theory -- Basics of the operator method -- Applications of OM for one-dimensional systems -- Operator method for quantum statistics -- Quantum systems with several degrees of freedom -- Two-dimensional exciton in magnetic field with arbitrary strength -- Atoms in the external electromagnetic fields -- Many-electron atoms -- Systems with infinite number of degrees of freedom.This book introduces systematically the operator method for the solution of the Schrödinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory.  In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.Lecture Notes in Physics,0075-8450 ;894Quantum physicsPhysicsAtomic structure  Molecular structure Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Atomic/Molecular Structure and Spectrahttps://scigraph.springernature.com/ontologies/product-market-codes/P24017Quantum physics.Physics.Atomic structure  .Molecular structure .Quantum Physics.Mathematical Methods in Physics.Atomic/Molecular Structure and Spectra.530.124Feranchuk Ilyaauthttp://id.loc.gov/vocabulary/relators/aut791967Ivanov Alexeyauthttp://id.loc.gov/vocabulary/relators/autLe Van-Hoangauthttp://id.loc.gov/vocabulary/relators/autUlyanenkov Alexanderauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996211266203316Non-perturbative Description of Quantum Systems2283975UNISA