Non-Markovian dissipative quantum mechanics with stochastic trajectories [Elektronische Ressource] / von Werner Koch

Non-Markovian Dissipative QuantumMechanics with Stochastic TrajectoriesD I S S E R T A T I O Nzur Erlangung des akademischen GradesDoctor rerum naturalium(Dr. rer. nat.)vorgelegtder Fakult¨at Mathematik und Naturwissenschaftender Technischen Universit¨at DresdenvonWerner Kochgeboren am 22. Dezember 1980 in DresdenEingereicht am 09. September 2010Die Dissertation wurde in der Zeit von 08/2007 bis 09/2010im Institut fu¨r Theoretische Physik angefertigtL1. Gutachter: Prof. Dr. rer. nat. habil. Ru¨diger Schmidt2. Gutachter: Prof. Dr. rer. nat. habil. Hermann GrabertVerteidigt amAbstractAll fields of physics – be it nuclear, atomic and molecular, solid state, or optical – offerexamples of systems which are strongly influenced by the environment of the actual systemunder investigation. The scope of what is called “the environment” may vary, i.e., how farfromthesystemofinterestaninteraction between thetwo doespersist. Typically, however,itismuch larger than the open systemitself. Hence, afullyquantum mechanical treatmentof the combined system without approximations and without limitations of the type ofsystem is currently out of reach.With the single assumption of the environment to consist of an internally thermalizedset of infinitely many harmonic oscillators, the seminal work of Stockburger and Grabert[Chem. Phys.