Displacement Operator Formalism

نویسندگان

  • Joannis Papavassiliou
  • Daniele Binosi
  • Apostolos Pilaftsis
چکیده

We review the D-formalism, a new method for determining the renormalization of Green functions to all orders in perturbation theory. This formalism exploits the fact that the renormalized Green functions may be calculated by displacing by an infinite amount the renormalized fields and parameters of the theory with respect to the unrenormalized ones. We briefly discuss some of its main characteristics, its conceptual and practical advantages, and some new results obtained through it.

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

Squeezed States for General Multiphoton Systems: Towards the Displacement-operator Formalism

We propose a displacement-operator approach to some aspects of squeezed states for general multiphoton systems. The explicit displacement-operators of the squeezed vacuum and the coherent states are achieved and expresses as the ordinary exponential form. As a byproduct the coherent states of the q-oscillator are obtained by the usual exponential displacement-operator. PACS numbers: 03.65.-w, 0...

متن کامل

Generalized Binomial States: Ladder Operator Approach

We show that the binomial states (BS) of Stoler et al. admit the ladder and displacement operator formalism. By generalizing the ladder operator formalism we propose an eigenvalue equation which possesses the number and the squeezed states as its limiting solutions. The explicit forms of the solutions, to be referred to as the generalized binomial states (GBS), are given. Corresponding to the w...

متن کامل

Coherent states, displaced number states and Laguerre polynomial states for su(1,1) Lie algebra

The ladder operator formalism of a general quantum state for su(1,1) Lie algebra is obtained. The state bears the generally deformed oscillator algebraic structure. It is found that the Peremolov’s coherent state is a su(1,1) nonlinear coherent state. The expansion and the exponential form of the nonlinear coherent state are given. We obtain the matrix elements of the su(1,1) displacement opera...

متن کامل

Generalized Uncertainty Relations: Theory, Examples, and Lorentz Invariance

The quantum-mechanical framework in which observables are associated with Hermitian operators is too narrow to discuss measurements of such important physical quantities as elapsed time or harmonic-oscillator phase. We introduce a broader framework that allows us to derive quantum-mechanical limits on the precision to which a parameter e.g., elapsed time may be determined via arbitrary data ana...

متن کامل

ua nt - p h / 99 05 10 1 v 1 3 1 M ay 1 99 9 Geometric phases for generalised squeezed coherent states

A simple technique is used to obtain a general formula for the Berry phase (and the corresponding Hannay angle) for an arbitrary Hamiltonian with an equally-spaced spectrum and appropriate ladder operators connecting the eigenstates. The formalism is first applied to a general deformation of the oscillator involving both squeezing and displacement. Earlier results are shown to emerge as special...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005