The document defines a propagator in quantum mechanics and quantum field theory as a function that specifies the probability amplitude for a particle to travel between places over time or with a certain energy and momentum. It propagates the wave function from one position to another over a given time period. The document also discusses the time-dependent Schrodinger equation and how to put the propagator of a free particle and simple harmonic oscillator into that equation. It provides headings for how to prepare a topic, including importance, principles, applications, advantages, and conclusion, as well as tips for effectively presenting a topic through visuals, voice, and audience engagement.

1. Concept of Propagator
PHM703
Kunal Sharma

2. Definition:
• In quantum mechanics and quantum field theory,
the propagator is a function that specifies the probability
amplitude for a particle to travel from one place to another in a
given period of time, or to travel with a certain energy and
momentum.
• It propagates the wave function from 𝑥 to 𝑥′ in a given period of
Time.

3. We know that,
Time- Dependent Schrodinger Equation is as follows:

4. • On substituting (2) in (1);
• Putting the value of 𝐶𝑛 𝑡 in (2),

5. Putting the value of 𝐶𝑛(0) in (4),

6. • Propagator of Free Particle,
• Simple Harmonic Oscillator,

7. How to prepare for Topic:
• Importance of Topic
• Principle and Theory
• Applications
• Advantage
• Conclusion
# Note:1. Never use these headings when you are teaching the
subject to audience.
• 2. Use whenever you are presenting the subject in front of Teachers.

8. How to present:
• Composition of Colors(For White background use Dark Colors, For dark
background use Light colors).
• Do not Break the flow of Speaking.
• Try to summarize paragraphs in Bullets.
• Try to Convert text into pictures.
• Voice Modulation.
• Be a performer.
• Attract Audience.
• Font Size must be visible to last sitting person.
• Use Calibri or Aerial Black(Do not use Times New roman)