Linear Continuum Mechanics for Quantum Many-Body Systems

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Continuum 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 کامل

Linear 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 کامل

Classical 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 کامل

Computational many body quantum mechanics systems: Designing efficient numerical methods for highly-oscillatory problems

A fundamental challenge in science is the quantitative prediction of timedependent nonlinear phenomena. While dynamical simulation was one of the first applications of computers, the problems treated, the methods used, and their implementation have all changed a lot. Astronomers use simulation to study the history and long term evolution of the solar system. Molecular simulations are essential ...

متن کامل

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 کامل

ذخیره 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: Physical Review Letters

سال: 2009

ISSN: 0031-9007,1079-7114

DOI: 10.1103/physrevlett.103.086401