M.Sc Physics Lecture

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Eigenvalues and Eigenvectors of Matrices

  • 2 min read

Eigenvalues and eigenvectors play a central role in linear algebra, with wide applications in physics, engineering, and data science. They help understand the action of a linear transformation in a given vector space.

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Classical Mechanics

  • 12 min read

D’Alembert’s Principle, Lagrange’s Equation and Its Simple Applications

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IV. Python: Object-Oriented Programming

  • 3 min read

Object-Oriented Programming (OOP) is a programming style that organizes code into objects, which store data and perform actions. This method makes programs more structured, reusable, and secure. The four main concepts of OOP are:

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III. Python: Installation

  • 1 min read

Python is a high-level, interpreted programming language known for its simplicity and readability. It is widely used in various domains such as web development, data science, artificial intelligence, automation, and more. Python’s syntax is designed to be easy to learn, making it an excellent choice for beginners.

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Basic Electronics: Boolean Algebra

  • 1 min read

Boolean algebra is a mathematical structure used to perform operations on binary variables (0s and 1s). It is fundamental in digital logic design and computer science.

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The Concept of Isospin

  • 7 min read

Isospin is a quantum number that describes the symmetry between particles with similar properties but different electric charges. It was first proposed by Werner Heisenberg in 1932 to explain the near-degeneracy of protons and neutrons. These particles, collectively called nucleons, were found to behave similarly under the strong nuclear force, suggesting an underlying symmetry.

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Assignment-I

  • 1 min read

Instructions:

Explain how complex physical expressions can simplify to exponential decay through Taylor series or other approximations. Provide detailed derivations for the following cases.

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Scattering Revisited

  • 7 min read
Scattering

In this lecture, we will start by revisiting the basics of quantum scattering, focusing on partial wave analysis and phase shifts. The graph at the top illustrates the Breit-Wigner resonance curve, which we will discuss in detail after exploring resonance scattering and its role in energy-dependent cross-sections.

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Nuclear Reactions

  • 7 min read

Nuclear reactions can occur when a target nucleus $X$ is bombarded by a particle $a$, resulting in a daughter nucleus $Y$ and an outgoing particle $b$:

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Basic Electronics: Semiconductors

  • 4 min read

In 1839, Becquerel discovered that some materials generate an electric current when exposed to light. This is known as the photoelectric effect and is the basis of operations of solar cells. Solar cells are made of semiconductors.

  • Note: Semiconductors are materials that act as insulators at low temperatures, but as conductors when energy or heat is available.

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Particle Physics: Conservation Laws

  • 3 min read

The conservation laws of energy, momentum, and charge govern all processes. In particle physics, additional empirical conservation laws are also crucial. They are:

  1. Conservation of baryon number
  2. Conservation of lepton number
  3. Conservation of strangeness
  4. Conservation of isospin
  5. Conservation of electric charge

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