We first review the physics about the noncommutative ⌽ 4 theory and Wess-Zumino model and their renormalization. Then the algebras of noncommutative field theories ͑NCFT's͒ are studied. From Neother currents, the field representation for the generators of NCFT's is extracted. Then, based on this representation, the commutation relations between the generators are calculated for NCFT's. The symmetry properties of NCFT's inferred from these commutation relations are discussed and compared with those of the commutative ones.
A detailed molecular investigation of the role of H-bonding in fluorescence quenching by photo-induced electron transfer between 7-methoxycoumarin and guanine.
This study aims to investigate the use of the predict–observe–explain (POE) approach integrated into large lecture classes on forces and motion. It is compared to the instructor-led problem-solving method using model analysis. The samples are science (SC, N = 420) and engineering (EN, N = 434) freshmen, from Prince of Songkla University, Thailand. Research findings from the force and motion conceptual evaluation indicate that the multimedia-supported POE method promotes students’ learning better than the problem-solving method, in particular for the velocity and acceleration concepts. There is a small shift of the students’ model states after the problem-solving instruction. Moreover, by using model analysis instructors are able to investigate students’ misconceptions and evaluate teaching methods. It benefits instructors in organizing subsequent instructional materials.
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