Quantum Mechanics Questions and Answers in PDF What do you understand by matter waves? Or Discuss the concept of de-Broglie matter waves. Define group velocity and particle velocity regarding a group wave. Or Define particle velocity, group velocity, and phase velocity. Derive the mathematical expression for group and phase velocity. Show that the phase velocity … [Read more...] about Quantum Mechanics Questions and Answers | Notes

# Quantum Mechanics

## Eigen value and Eigen function: Particle trapped in one-dimensional potential well

A particle is moving in the one-dimensional box; Write and solve Schrodinger’s wave equation and get Eigenvalue and Eigen function. Answer: A Particle trapped in a one-dimensional potential box (Application of time-independent Schrodinger wave equation) If we consider a particle trapped in a one-dimensional potential box and moving along the x-axis. Let L is the width of … [Read more...] about Eigen value and Eigen function: Particle trapped in one-dimensional potential well

## Schrodinger wave equation: Time Dependent and Time Independent Wave Equation

What is the Schrodinger wave equation? Derive Schrodinger`s time-dependent and time-independent wave equation. Write Schrodinger's time-dependent and time-independent wave equation. Explain its physical significance and discuss the term in the equation that is related to the physical problem. Answer: In the year 1926, the Austrian physicist Erwin Schrödinger describes how … [Read more...] about Schrodinger wave equation: Time Dependent and Time Independent Wave Equation

## Free particle Wave equation | Energy and momentum operator

What is the Free particle Wave equation? Derive Energy and momentum operator with the help of Free particle Wave equation Answer: Free particle Wave equation: If we assume that matter waves are produced due to variation in the wave function similarly as sound waves are produced due to variation in pressure and electromagnetic waves are produced due to variation in electric … [Read more...] about Free particle Wave equation | Energy and momentum operator

## Heisenberg’s Uncertainty Principle

What is Heisenberg’s uncertainty principle? Derive an expression for it. Discuss two experimental illustrations of this principle. Give mathematical proof of Heisenberg’s Uncertainty relation between energy and time. What is the application of Heisenberg’s uncertainty principle? Answer: Heisenberg’s Uncertainty Principle: The Uncertainty Principle introduced first in … [Read more...] about Heisenberg’s Uncertainty Principle