Unstable States in a Model of Nonrelativistic Quantum Electrodynamics: Corrections to the Lorentzian Distribution

نویسندگان

چکیده

We revisit the Lee-Friedrichs model as a of atomic resonances in hydrogen atom, using dipole-moment matrix-element functions which have been exactly computed by Nussenzveig. The Hamiltonian H is positive and has absolutely continuous spectrum. Although return probability amplitude $$R_{\Psi }(t) = (\Psi , \exp (-iHt) \Psi )$$ initial state $$\Psi $$ taken so-called Weisskopf–Wigner (W.W.) state, cannot be exactly, we show that it equals sum an exponentially decaying term universal correction $$O(\beta ^{2}\frac{1}{t})$$ for large times t small coupling constants $$\beta improving on some results King (Lett Math Phys 23:215–222, 1991). remaining, non-universal, part also shown to same qualitative type. method consists approximating matrix element resolvent operator W.W. Lorentzian distribution. No use made complex energies associated analytic continuations ”physical” Riemann sheets. Other new are presented, particular physical interpretation corrections, characterization sojourn time $$\tau _{H}(\Psi )= \int _{0}^{\infty } |R_{\Psi }(t)|^{2} dt$$ average lifetime standard quantity (quantum) probability.

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

Integral for Nonrelativistic Quantum Electrodynamics

Abstract: The Feynman path integral for nonrelativistic quantum electrodynamics is studied mathematically of a standard model in physics, where the electromagnetic potential is assumed to be periodic with respect to a large box and quantized thorough its Fourier coefficients. In physics, the Feynman path integral for nonrelativistic quantum electrodynamics is defined very formally. For example,...

متن کامل

Effective mass of nonrelativistic quantum electrodynamics

The effective mass meff of the nonrelativistic quantum electrodynamics with spin 1/2 is investigated. Let meff/m = 1 + a1(Λ/m)e + a2(Λ/m)e +O(e6), where m denotes the bare mass. a1(Λ/m) ∼ log(Λ/m) as Λ → ∞ is well known. Also a2(Λ/m) ∼ √ Λ/m is established for a spinless case. It is shown that a2(Λ/m) ∼ (Λ/m) in the case including spin 1/2.

متن کامل

Quantum Electrodynamics of Confined Nonrelativistic Particles

We consider a system of finitely many nonrelativistic, quantum mechanical electrons bound to static nuclei. The electrons are minimally coupled to the quantized electromagnetic field; but we impose an ultraviolet cutoff on the electromagnetic vector potential appearing in covariant derivatives, and the interactions between the radiation field and electrons localized very far from the nuclei are...

متن کامل

Thermal quantum electrodynamics of nonrelativistic charged fluids.

The theory relevant to the study of matter in equilibrium with the radiation field is thermal quantum electrodynamics (TQED). We present a formulation of the theory, suitable for nonrelativistic fluids, based on a joint functional integral representation of matter and field variables. In this formalism cluster expansion techniques of classical statistical mechanics become operative. They provid...

متن کامل

from linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar

chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...

15 صفحه اول

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: Journal of Statistical Physics

سال: 2021

ISSN: ['0022-4715', '1572-9613']

DOI: https://doi.org/10.1007/s10955-021-02706-4