Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED

نویسندگان

  • D. Hasler
  • I. Herbst
چکیده

We consider a class of translation invariant models of non-relativistic QED with net charge. Under certain natural assumptions we prove that ground states do not exist in the Fock space.

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

Mourre Estimate and Spectral Theory for the Standard Model of Non-Relativistic QED

For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we prove a Mourre estimate and a limiting absorption principle in a neighborhood of the ground state energy. As corollaries we derive local decay estimates for the photon dynamics, and we prove absence of (excited) eigen...

متن کامل

Spectral Theory for the Standard Model of Non-Relativistic QED

For a model of atoms and molecules made from static nuclei and non-relativistic electrons coupled to the quantized radiation field (the standard model of non-relativistic QED), we prove a Mourre estimate and a limiting absorption principle in a neighborhood of the ground state energy. As corollaries we derive local decay estimates for the photon dynamics, and we prove absence of (excited) eigen...

متن کامل

The Renormalized Electron Mass in Non-relativistic Quantum Electrodynamics

This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field comprises a fixed ultraviolet regularization and an infrared regularization parametrized by σ > 0. For the value p = 0 of the conserved total momentum of electron a...

متن کامل

Effective Dynamics of an Electron Coupled to an External Potential in Non-relativistic Qed

In the framework of non-relativistic QED, we establish the relationship between the renormalized mass of the electron due to its interaction with the quantized electromagnetic field, and the kinematic mass appearing in its response to a slowly varying external force. Specifically, we study the dynamics of an electron in a slowly varying external potential and with slowly varying initial conditi...

متن کامل

Spectral Renormalization Group

The operator-theoretic renormalization group (RG) methods are powerful analytic tools to explore spectral properties of field-theoretical models such as quantum electrodynamics (QED) with non-relativistic matter. In this paper these methods are extended and simplified. In a companion paper, our variant of operator-theoretic RG methods is applied to establishing the limiting absorption principle...

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 2008