The Global and Local in Phillips Curve\ud

The debate over the Phillips Curve - as the relation between level of unemployment rate and inflation rate - in historical economics is shortly reviewed. By using the analysis in the Extreme Value Theory, i.e.: the rank order statistics the unemployment and inflation data over countries from various regions are observed. The calculations brought us to conjecture that there exists the general pattern that could lead from the relation between unemployment and inflation rate. However, the difference patterns as observed in the Phillips Curve might could be reflected from the range of values of the local variables of the incorporated model.\u

Implementasi Model Pembelajaran Problem Posing Dilengkapi Lks Untuk Meningkatkan Kemampuan Analisis Dan Prestasi Belajar Materi Konsep Mol Siswa Kelas X SMA N 8 Surakarta Tahun Pelajaran 2013/2014

Penelitian ini bertujuan untuk meningkatkan prestasi belajar dan kemampuan analisis siswa kelas X dengan menggunakan model pembelajaran Problem Posing dilengkapi LKS pada materi konsep mol pada SMA Negeri 8 Surakarta tahun pelajaran 2013/2014. Penelitian ini merupakan Penelitian Tindakan Kelas (PTK) yang terdiri dari dua siklus. Subjek penelitian adalah siswa kelas X MIA 3 SMA Negeri 8 Surakarta. Sumber data berasal dari guru dan siswa. Teknik pengumpulan data adalah metode observasi, wawancara, angket, tes dan dokumentasi atau arsip. Analisis data menggunakan teknik analisis deskriptif. Dari hasil penelitian diketahui bahwa ketercapaian kemampuan analisis siswa sebesar 36,00% pada siklus I menjadi 60,00% pada siklus II. Prestasi belajar aspek kognitif meningkat dari 60,00% pada siklus I menjadi 88% pada siklus II, sedangkan ketercapaian prestasi belajar aspek sikap sebesar 100% pada siklus I maupun siklus II. Dari angket respon Balikan siswa diketahui sebesar 100% siswa memberikan respon positif terhadap pembelajaran menggunakan model pembelajaran Problem Posing dilengkapi LKS. Berdasarkan hasil penelitian, dapat disimpulkan bahwa penerapan model pembelajaran Problem Posing dilengkapi LKS dapat meningkatkan prestasi belajar dan kemampuan analisis siswa

Shuffling cards, factoring numbers, and the quantum baker's map

It is pointed out that an exactly solvable permutation operator, viewed as the quantization of cyclic shifts, is useful in constructing a basis in which to study the quantum baker's map, a paradigm system of quantum chaos. In the basis of this operator the eigenfunctions of the quantum baker's map are compressed by factors of around five or more. We show explicitly its connection to an operator that is closely related to the usual quantum baker's map. This permutation operator has interesting connections to the art of shuffling cards as well as to the quantum factoring algorithm of Shor via the quantum order finding one. Hence we point out that this well-known quantum algorithm makes crucial use of a quantum chaotic operator, or at least one that is close to the quantization of the left-shift, a closeness that we also explore quantitatively.Comment: 12 pgs. Substantially elaborated version, including a new route to the quantum bakers map. To appear in J. Phys.

Development of an approximate method for quantum optical models and their pseudo-Hermicity

An approximate method is suggested to obtain analytical expressions for the eigenvalues and eigenfunctions of the some quantum optical models. The method is based on the Lie-type transformation of the Hamiltonians. In a particular case it is demonstrated that $E\times \epsilon$ Jahn-Teller Hamiltonian can easily be solved within the framework of the suggested approximation. The method presented here is conceptually simple and can easily be extended to the other quantum optical models. We also show that for a purely imaginary coupling the $E\times \epsilon$ Hamiltonian becomes non-Hermitian but $P\sigma _{0}$-symmetric. Possible generalization of this approach is outlined.Comment: Paper prepared fo the "3rd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics" June 2005 Istanbul. To be published in Czechoslovak Journal of Physic

Spin-Boson Hamiltonian and Optical Absorption of Molecular Dimers

An analysis of the eigenstates of a symmetry-broken spin-boson Hamiltonian is performed by computing Bloch and Husimi projections. The eigenstate analysis is combined with the calculation of absorption bands of asymmetric dimer configurations constituted by monomers with nonidentical excitation energies and optical transition matrix elements. Absorption bands with regular and irregular fine structures are obtained and related to the transition from the coexistence to a mixing of adiabatic branches in the spectrum. It is shown that correlations between spin states allow for an interpolation between absorption bands for different optical asymmetries.Comment: 15 pages, revTeX, 8 figures, accepted for publication in Phys. Rev.