Nonperturbative approach to a simple model with ultravioletly divergent eigenenergies in perturbation theory

نویسنده

  • Wen-ge Wang
چکیده

We study a simple quantized model for which perturbation theory gives ultravioletly divergent results. We show that when the eigen-solution problem of the Hamiltonian of the model is treated nonperturbatively, it is possible for eigenenergies of the Hamiltonian to be finite. PACS number: 11.15 Tk Typeset using REVTEX 1

برای دانلود 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

Nonperturbative Effects from the Resummation of Perturbation Theory

Using the general argument in Borel resummation of perturbation theory that links the divergent perturbation theory to the nonperturbative effect we argue that the nonperturbative effect associated with the perturbation theory should have a branch cut along the positive real axis in the complex coupling plane. The component in the weak coupling expansion of the nonperturbative amplitude, which ...

متن کامل

Convergent Rayleigh–Schrödinger perturbation expansions for low-lying eigenstates and eigenenergies of anharmonic oscillators in intermediate basis states

With suitably chosen unperturbed Hamiltonians, we show numerical evidence of convergence of Rayleigh–Schrödinger perturbation expansions for low-lying eigenstates and the corresponding eigenenergies of the quartic, sextic, and octic anharmonic oscillators, when the anharmonic terms are not very strong. In obtaining the perturbation expansions, unperturbed Hamiltonians are taken as the diagonal ...

متن کامل

Dynamic response determination of viscoelastic annular plates using FSDT – perturbation approach

In this paper, the transient response of a viscoelastic annular plate which has time-dependent properties is determined mathematically under dynamic transverse load. The axisymmetric conditions are considered in the problem. The viscoelastic properties obey the standard linear solid model in shear and the bulk behavior in elastic. The equations of motion are extracted using Hamilton’s principle...

متن کامل

Divergence of Perturbation Theory and Resummation

Current determinations of fundamental constants [1] and the comparison of theory and expriment in high-precision experiments are based on perturbative expansions which can at best be regarded as divergent, asymptotic series in the coupling constant [2]. The first terms of the series decrease in absolute magnitude, before the factorial growth of the perturbative coefficients overcompensates the ...

متن کامل

Summing up the perturbation series in the Schwinger Model

Perturbation series for the electron propagator in the Schwinger Model is summed up in a direct way by adding contributions coming from individual Feynman diagrams. The calculation shows the complete agreement between nonperturbative and perturbative approaches. 11.10.-z;11.15.Bt;12.90.+b Typeset using REVTEX Electronic mail: [email protected] 1 A long-standing question in quantum field theory ...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000