Equations-of-motion approach to quantum mechanics: application to a model phase transition.

نویسندگان

  • S Y Ho
  • G Rosensteel
  • D J Rowe
چکیده

We present a generalized equations-of-motion method that efficiently calculates energy spectra and matrix elements for algebraic models. The method is applied to a five-dimensional quartic oscillator that exhibits a quantum phase transition between vibrational and rotational phases. For certain parameters, 10 x 10 matrices give better results than obtained by diagonalizing 1000 x 1000 matrices.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamic Fracture Analysis Using an Uncoupled Arbitrary Lagrangian Eulerian Finite Element Formulation

This paper deals with the implementation of an efficient Arbitrary Lagrangian Eulerian (ALE) formulation for the three dimensional finite element modeling of mode I self-similar dynamic fracture process. Contrary to the remeshing technique, the presented algorithm can continuously advance the crack with the one mesh topology. The uncoupled approach is employed to treat the equations. So, each t...

متن کامل

دینامیک کوانتومی ذره جرم‌دار روی دوسیتر 3+1

 The phase space which is related to the motion of massive particle on 1+3- De sitter space is a 3-dimensional complex sphere. Our main aim in this study is discribing this movement in the frame quantum mechanics. Transfering from classical mechanic to quantum mechanics is possible by means of coherent states. Thus, after determination of this state, we quantize some of the classical observables.

متن کامل

مقدمه‌ای بر سیستمهای اسپینی کوانتمی

This manuscript is the collection of lectures given in the summer school on strongly correlated electron systems held at Isfahan university of technology, June 2007. A short overview on quantum magnetism and spin systems is presented. The numerical exact diagonalization (Lanczos) alghorithm is explained in a pedagogical ground. This is a method to get some ground state properties on finite clus...

متن کامل

شبیه سازی اثر بی نظمی و میدان مغناطیسی بر ترابرد کوانتومی نانوساختارهای دو بعدی مدل شده با تقریب تنگابست

 In recent years, semiconductor nanostructures have become the model systems of choice for investigation of electrical conduction on short length scales. Quantum transport is studied in a two dimensional electron gas because of the combination of a large Fermi wavelength and large mean free path. In the present work, a numerical method is implemented in order to contribute to the understanding ...

متن کامل

Quantum mechanics investigation of acid dissociation constant of carboxylic acids in aqueous solution

According to the Bronsted definition, any compound which has a hydrogen atom is an acid, since itmay be lost as a proton. A thermodynamical cycle is proposed to calculate absolute pKa values forBronsted acids in aqueous solution. The equilibrium of dissociation of a Bronsted acid depends onthe interaction of the acid and its conjugate base with solvent molecules. There fore the pKa valuedepends...

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

عنوان ژورنال:
  • Physical review letters

دوره 98 8  شماره 

صفحات  -

تاریخ انتشار 2007