These lecture notes review recent results on the high-frequency analysis of nonlinear Schrödinger equations in the presence of an external potential. The book consists of two relatively independent ...

We utilized the slope intercept equation of a line to express the perpendicular bisectors. We equated the lines at the intersecting point to calculate value of point X and substituted the equation ...

ICSE Class 10 Maths Sample Paper: Preparing for the ICSE Class 10 Half Yearly Exams 2025-26 becomes easier with expert-curated sample papers. To help students strengthen their preparation for the ...

This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. The first part of the book complements the classical book on the Langevin and Fokker ...

Equation 11 and the relations μ 12 = μ 01 and α 12 = α 01 (i.e., as is commonly done, assuming the harmonic ratio between the transition dipole moment even in the case of the anharmonic oscillator) ...