Functional Methods: Path Integral with a Source

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Ampère-Laplace Law: Magnetic Field Calculation and Applications

Explores the Ampère-Laplace law for magnetic field calculation and its practical applications.

Quantum Field Theory: Path Integrals

Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.

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Multi-Instanton Solutions in Quantum Field Theory

Explores the dilute instanton gas approximation and the importance of multi-instanton solutions in quantum field theory.

Instantons: Non-perturbative Effects

Explores instantons and non-perturbative effects in quantum field theory, including tunneling probability and exact eigenstates.

Magnetism: Basics and Phenomena

Explores the basics of magnetism, magnetic fields, and magnetic properties in materials.

Perturbation Theory in Path Integral Formalism

Explores perturbation theory in path integrals and the semi-classical approximation for solving non-exactly soluble systems.

Magnetic Moments and Field Lines: Equivalence and Induction

Explores magnetic dipole, field lines, and induction by moving charges.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.