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Canonical transformation
About: Canonical transformation is a research topic. Over the lifetime, 1854 publications have been published within this topic receiving 38019 citations.
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TL;DR: In this article, a unified approach of generating potentials of all classes having non-constant masses was proposed, where the point canonical transformation approach was extended in a manner distinct from the previous ones.
Abstract: Extending the point canonical transformation approach in a manner distinct from the previous ones, we propose a unified approach of generating potentials of all classes having non-constant masses.
5 citations
5 citations
TL;DR: In this paper, a canonical transformation is presented in the form of an asymptotic series to remove the time dependence up to some order in the small parameter of a Hamiltonian system with rapidly oscillating explicit dependence on time.
Abstract: Hamiltonian systems with rapidly oscillating explicit dependence on time are considered. The wavelength of this oscillation is treated as a small parameter and it is shown how to remove the time dependence up to some order in the small parameter by means of a canonical transformation presented in the form of an asymptotic series. The result has applications for the study of pulse propagation for high bit-rate transmission in optical fibres. PACS number 4279Sz
5 citations
TL;DR: In this paper, the authors derive different forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a rigid rotor and derive the dual-BRST symmetry.
Abstract: We derive the different forms of BRST symmetry by using the Batalin–Fradkin–Vilkovisky formalism in a rigid rotor. The so-called "dual-BRST" symmetry is obtained from the usual BRST symmetry by making a canonical transformation in the ghost sector. On the other hand, a canonical transformation in the sector involving Lagrange multiplier and its corresponding momentum leads to a new form of BRST as well as dual-BRST symmetry.
5 citations
TL;DR: In this paper, the generalized periodic Anderson model was investigated from the point of view of the possible appearance of coupled electron pairs in the local model, where the renormalized energy spectrum was divided into low and high energy parts separated by an interval of the order of the Coulomb electron-repulsion energy.
Abstract: We investigate the generalized periodic Anderson model describing two groups of strongly correlated (d- and f-) electrons with local hybridization of states and d-electron hopping between lattice sites from the standpoint of the possible appearance of coupled electron pairs in it. The atomic limit of this model admits an exact solution based on the canonical transformation method. The renormalized energy spectrum of the local model is divided into low- and high-energy parts separated by an interval of the order of the Coulomb electron-repulsion energy. The projection of the Hamiltonian on the states in the low-energy part of the spectrum leads to pair-interaction terms appearing for electrons belonging to d- and f-orbitals and to their possible tunneling between these orbitals. In this case, the terms in the Hamiltonian that are due to ion energies and electron hopping are strongly correlated and can be realized only between states that are not twice occupied. The resulting Hamiltonian no longer involves strong couplings, which are suppressed by quantum fluctuations of state hybridization. After linearizing this Hamiltonian in the mean-field approximation, we find the quasiparticle energy spectrum and outline a method for attaining self-consistency of the order parameters of the superconducting phase. For simplicity, we perform all calculations for a symmetric Anderson model in which the energies of twice occupied d- and f-orbitals are assumed to be the same.
5 citations