Schrodinger equation - Derivation and how to use it

The video explores the fundamentals of quantum mechanics, focusing on the Schroedinger Equation and its implications for energy conservation and time evolution. It discusses the challenges of solving quantum equations and the philosophical questions they raise. The video also provides practical insights into using the Schroedinger Equation and invites viewers to engage with the material through comments and questions.

What principle is considered fundamental and is integrated into quantum mechanics via the Schroedinger equation?

• Conservation of charge

• Conservation of mass

• Conservation of energy

• Conservation of momentum

In quantum mechanics, what happens to the energy of a particle when it is in an energy eigenstate and evolves over time?

• The energy becomes zero

• The energy remains the same

• The energy increases

• The energy decreases

What is the significance of the angle of rotation in the context of complex numbers and state evolution?

• It determines the speed of the particle

• It shows the direction of particle movement

• It represents the change in energy

• It indicates the rotation of complex numbers

How does the Schroedinger equation describe the evolution of a quantum state over time?

• By increasing the speed of the particle

• By changing the mass of the particle

• By rotating the state in the energy basis

• By altering the charge of the particle

What is a major challenge in solving the Schroedinger equation for systems with more than two particles?

• It needs a large amount of data

• It is impossible to solve without a computer

• It takes a long time to compute

• It requires advanced mathematical skills

What philosophical question is raised about quantum mechanics in relation to predicting future states?

• Does quantum mechanics affect time travel?

• Can quantum mechanics predict past states?

• Is quantum mechanics deterministic?

• Is quantum mechanics related to relativity?

What does the concept of linearity in the Schroedinger equation imply about time evolution?

• Time evolution is unpredictable

• Time evolution is reversible

• Time evolution is non-linear

• Time evolution maps valid states to other valid states