منابع مشابه
Many-Minds Quantum Mechanics
Preface This is a draft of an upcoming book with a computational approach to quantum mechanics based viewing the the Schrödinger equation for a many-electron atom or molecule as a non-linear system of of one-electron equations in the spirit of Hartrees classical method, which is solved in a collective computational process with each electron updating its own three-dimensional wave function acco...
متن کاملContinuum mechanics for quantum many-body systems: Linear response regime
We derive a closed equation of motion for the current density of an inhomogeneous quantum many-body system under the assumption that the time-dependent wave function can be described as a geometric deformation of the ground-state wave function. By describing the many-body system in terms of a single collective field we provide an alternative to traditional approaches, which emphasize one-partic...
متن کاملDerivation of nonlinear Gibbs measures from many-body quantum mechanics
We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverges and the interaction strength behaves as 1/T . We proceed by characterizing the interacting Gibbs state as minimizing a functional counting the free-energy relatively to the non-interacting case. We then perform an ...
متن کاملLinear continuum mechanics for quantum many-body systems.
We develop the continuum mechanics of quantum many-body systems in the linear response regime. The basic variable of the theory is the displacement field, for which we derive a closed equation of motion under the assumption that the time-dependent wave function in a locally comoving reference frame can be described as a geometric deformation of the ground-state wave function. We show that this ...
متن کاملClassical behaviour of many-body systems in Bohmian Quantum Mechanics
The classical behaviour of a macroscopic system consisting of a large number of microscopic systems is derived in the framework of the Bohmian interpretation of quantum mechanics. Under appropriate assumptions concerning the localization and factorization of the wavefunction it is shown explicitly that the center of mass motion of the system is determined by the classical equations of motion.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: XRDS: Crossroads, The ACM Magazine for Students
سال: 2016
ISSN: 1528-4972,1528-4980
DOI: 10.1145/2983537