Wave Basics: What Is Wave, Phase & Velocity?

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SUMMARY

This discussion focuses on the fundamental concepts of waves, specifically defining wave, phase, phase velocity, and group velocity. Participants emphasize the importance of visualizing these concepts to enhance understanding. The discussion highlights the need for a clear mental image of how disturbances travel through mediums, rather than relying solely on definitions. The provided link to a related forum thread serves as a resource for further clarification and visualization techniques.

PREREQUISITES
  • Basic understanding of wave mechanics
  • Familiarity with physical disturbances in mediums
  • Knowledge of phase and group velocity concepts
  • Ability to interpret visual representations of waves
NEXT STEPS
  • Research the mathematical definitions of phase and group velocity
  • Explore visual simulations of wave propagation
  • Study the relationship between wave frequency and velocity
  • Learn about different types of waves, such as mechanical and electromagnetic
USEFUL FOR

Students, educators, and anyone interested in gaining a foundational understanding of wave dynamics and visualization techniques in physics.

Gurasees
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What is a wave, phase, phase velocity and group velocity?
I don't need the defination but understanding in such a way that i can form an image in the mind.
 
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i want to know just the basics about what is a wave, the disturbance, how it is traveling ahead. i want to form an image in my mind.
 
Repeating the question is not going to help.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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