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The bound state solutions of Dirac equations for a trigonometric Scarf potential with a new tensor potential under spin and pseudospin symmetry limits are investigated using Romanovski polynomials. The proposed new tensor potential is inspired by superpotential form in supersymmetric (SUSY) quantum mechanics. The Dirac equations with trigonometric Scarf potential coupled by a new tensor potential for the pseudospin and spin symmetries reduce to Schrödinger-type equations with a shape invariant potential since the proposed new tensor potential is similar to the superpotential of trigonometric Scarf potential. The relativistic wave functions are exactly obtained in terms of Romanovski polynomials and the relativistic energy equations are also exactly obtained in the approximation scheme of centrifugal term. The new tensor potential removes the degeneracies both for pseudospin and spin symmetries.

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An approximate solution of the Dirac equation for a spin-1/2 particle under the influence of q-deformed hyperbolic Pöschl–Teller potential combined with trigonometric Scarf II non-central potential is studied analytically. It is assumed that the scalar potential equals the vector potential in order to obtain analytical solutions. Both radial and angular parts of the Dirac equation are solved using the Nikiforov–Uvarov method. A relativistic energy spectrum and the relation between quantum numbers can be obtained using this method. Several quantum wave functions corresponding to several states are also presented in terms of the Jacobi Polynomials.

The application of minimal length formalism in Klein-Gordon equation with Hulthen potential was studied in the case of scalar potential that was equal to vector potential. The approximate solution was used to solve the Klein-Gordon equation within the minimal length formalism. The relativistic energy and wave functions of Klein-Gordon equation were obtained by using the Asymptotic Iteration Method. By using the Matlab software, the relativistic energies were calculated numerically. The unnormalized wave functions were expressed in hypergeometric terms. The results showed the relativistic energy increased by the increase of the minimal length parameter. The unnormalized wave function amplitude increased for the larger minimal length parameter.

This study intended to describe the effectiveness of the GEM-CL learning model selaras Bakar Batu cultural practice on chapter heat and temperature. This type of research was quasi-experiment with pretest and post-test control group design. The study population was all students of class XI IPA SMAN 1 Jayapura. The sampling technique used was simple random sampling. The selected classes were XI IPA-3 as an experimental class and class XI IPA-5 as a control class. Data collection instruments were tests based on higher-order thinking skills and questionnaires to collect students’ responses. Data analysis was done by t-test, N-gain, and effect size for data collecting from test data while data from questionnaires were analyzed by descriptive qualitative analysis. It was concluded that the model is effective to apply in physics learning to preserve students’ conceptual understanding and improve students’ higher-order thinking skills. Further study on GEM-CL to other cultural practices and physics chapter in Indonesia would would strengthen this learning model.

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