The quantum N-body problem
نویسندگان
چکیده
This selective review is written as an introduction to the mathematical theory of the Schro ̈dinger equation for N particles. Characteristic for these systems are the cluster properties of the potential in configuration space, which are expressed in a simple geometric language. The methods developed over the last 40 years to deal with this primary aspect are described by giving full proofs of a number of basic and by now classical results. The central theme is the interplay between the spectral theory of N -body Hamiltonians and the space–time and phase-space analysis of bound states and scattering states. © 2000 American Institute of Physics. S0022-2488 00 01306-2
منابع مشابه
Novel Design of n-bit Controllable Inverter by Quantum-dot Cellular Automata
Application of quantum-dot is a promising technology for implementing digital systems at nano-scale. Quantum-dot Cellular Automata (QCA) is a system with low power consumption and a potentially high density and regularity. Also, QCA supports the new devices with nanotechnology architecture. This technique works </...
متن کاملQuantum mechanical proton range in human body
Introduction: Proton therapy delivers radiation to tumor tissue in a much more confined way than conventional photon therapy thus allowing the radiation oncologist to use a greater dose while still minimizing side. Materials and Methods: protons release most of their energy within the tumor region. As a result, the treating physician can potentially give an...
متن کاملA Quantum Evolutionary Algorithm for the Vehicle Routing Problem with Single-sided Time Window Setting
Customer service level is of prime importance in today competitive world and has various dimensions with delivery quality being one of the most important ones. Delivery quality has several parameters such as deliver time window options, time window size, etc. In this paper we focus on one of these parameters, namely time window setting. It has a direct impact upon customer satisfaction and busi...
متن کاملTransannular Interaction in N-Aryl-5-Azocanones, A Semiempirical Quantum Mechanics and UV Spectroscopy Studies
The ability of the present semiempirical quantum mechanics methods are surveyed for reproducing the transannular interaction in the bifunctional N-phenyl-5-azocanones. The AM1 method is the best with the order of reliability being Am1, PM3, MNDO and MINDO/3. AM1 calculations were then carried out for quantification of transannular interaction. The n(o) ionization potential has be...
متن کاملDesigning a quantum genetic controller for tracking the path of quantum systems
Based on learning control methods and computational intelligence, control of quantum systems is an attractive field of study in control engineering. What is important is to establish control approach ensuring that the control process converges to achieve a given control objective and at the same time it is simple and clear. In this paper, a learning control method based on genetic quantum contr...
متن کاملExact Solution of a N-body Problem in One Dmension
Complete energy spectrum is obtained for the quantum mechanical problem of N one dimensional equal mass particles interacting via potential V (x1, x2, ..., xN) = g N
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000