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- Available Batches
- 24 Apr 2021
- 10 Lectures

Description

Quantum mechanics has a reputation for being a hard subject, but with a proper introduction, it can be made intuitive.

The course will give a basic understanding of the inner workings of the quantum world. Anyone with basic knowledge of entry-level calculus and linear algebra can understand the mathematics of this course.

Aim of the course is to build intuition about the counter-intuitive world of quantum physics using well known introductory quantum physics problems like a particle in a box, quantum tunnelling, and many more.

If you ever wondered with questions like; what is the origin of the light in the stars? Or are there multiple universes? Or how does the next-generation quantum computing work? Etc. Then quantum mechanics is at the heart of understanding such mysteries.

Quantum mechanics is usually introduced during the UG courses. It gets advanced treatment during the PG courses, and this course can help both kinds of students in gaining the grasp over the basic but counter-intuitive concepts of quantum physics, from the double-slit experiment to the many-world interpretation and everything in-between.

What will you learn?

- Score better in any exam which requires a basic understanding of quantum mechanics.
- A deep understanding of quantum physics.
- Develop an intuition about the inner workings of the universe.

What knowledge and tools are required?

- Basic understanding of calculus and linear algebra.
- Some stationery to note down the important points.
- A personal computer with a webcam and mic with a good internet connection.

Who should take this course?

- Students who are interested in gaining a deep understanding of the quantum phenomena.
- Postgraduate students of quantum physics.
- Undergraduate students of physics.

Lecture 1 :- Why Quantum Physics?

Students will be able to understand the motivation and need for the quantum description of matter.

- Topics

- 1. Chronological introduction to quantum physics.
- 2. Double Slit Experiment

A historical introduction to the discovery of various quantum effects and failure of classical physics.

Lecture 2 :- Introduction to the superposition principle.

Superposition principle is at the heart of all the quantum effects. Students will be introduced to the concept of superposition using straightforward ideas from daily life.

- Topics

- 1. The dual nature of matter and radiation.
- 2. The idea of wave function.
- 3. The superposition principle.

Lecture 3 :- The Wave Function

What exactly is the wave function? What is it made up off? What is oscillating to create the wave? Questions like this will be answered in this lecture.

- Topics

- 1. Louis de Broglie hypothesis of matter waves.
- 2. Representation of wave-function.
- 3. Born interpretation of wave-function.

What a wave function represents and what is the physical meaning of it. And the concept of normalization of the wavefunction.

Lecture 4 :- Expectation values and Uncertainty Principle

A physical insight about the uncertainty in our universe. The concept of the probabilistic distribution of various physical quantities.

- Topics

- 1. Operators associated with various physical quantities (Momentum, Energy etc.)
- 2. The Uncertainty Principle.

To understand how to extract information about various physical quantities like Position, Momentum, Energy etc. from the wave function.

Why is there an uncertainty relation between the conjugate variables like Position and Linear Momentum, etc.?

Lecture 5 :- The Schrodinger Equation

How to calculate the wavefunction for a given system.

- Topics

- 1. The Time-Independent Schrodinger Equation
- 2. Concept of a Potential in Quantum Physics.
- 3. Time Dependent Schrodinger Equation.

Lecture 6 :- Particle in 1D box (Infinite Well).

The solution of one of the most famous quantum physics problem.

- Topics

- 1. The time-independent eigen-value problem of 1D box potential.
- 2. The energy eigen-values of 1D box and physical meaning of the eigen-functions.
- 3. Time evolution of a eigen-function and its physical meaning.

Lecture 7 :- Particle in Finite Well Potential.

How does a slight change in potential changes the whole picture?

- Topics

- 1. Time-independent solutions and their interpretation.
- 2. Time evolution.

Lecture 8 :- The problem of a step potential and its consequences.

- Topics

- 1. The eigen-value problem of the step potential.
- 2. The concept of reflection and transmission and the mathematical calculation.

Lecture 9 :- Potential Barrier.

A weird phenomenon in quantum mechanics known as the Quantum Tunnelling through a barrier.

- Topics

- 1. Solution of Potential Barrier problem.
- 2. The idea of quantum tunneling and its practical implications on our daily lives.

Lecture 10 :- The measurement Problem

Although the world of Quantum Physics is an infinite ocean, we will wrap up this introductory course with the most challenging and open problem in quantum mechanics.

- Topics

- 1. The Born Interpretation and the problem with the idea.
- 2. The Many World Interpretation and concept of parallel universe.
- 3. Schrodinger cat thought experiment.

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Instructor Profile

**Skills: **

I am a servant of the fundamental trait of the human mind, curiosity. I am a nuclear physicist by profession currently doing my Ph.D. at the department of physics, IIT Roorkee. I always had the zeal to share what I have learned and experienced in the world of physics. Quantum mechanics is my favorite subject of all time; the way quantum physics created a paradigm shift in the human understanding of the universe is unprecedented. As a nuclear physicist, quantum mechanics is my daily language, and I want to tell you precisely what is this beast and how to make it your friend.

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