Kiley said:Is there a difference between Schrodinger's equation and the wave function?
OK, thank you for your reply Peter.PeterDonis said:Of course; Schrodinger's equation is the equation that the wave function satisfies, which is obviously not the same as the wave function itself.
Schrodinger's equation is a fundamental equation in quantum mechanics that describes how a quantum system evolves over time. It is a partial differential equation that combines classical mechanics and wave mechanics to predict the behavior of quantum particles.
A wave function is a mathematical description of a quantum system that contains all the information about the system's position, momentum, and energy. It is represented by a complex-valued function and is used to calculate the probability of finding a particle in a particular state.
Schrodinger's equation is a mathematical equation that describes the evolution of a quantum system over time, while a wave function is a mathematical function that represents the state of a quantum system at a particular moment in time.
Schrodinger's equation is used to calculate the time evolution of a wave function. It takes the initial wave function as an input and produces a new wave function that represents the system at a later time.
Schrodinger's equation is fundamental to understanding the behavior of quantum systems. It allows us to make predictions about the behavior of quantum particles and has been instrumental in developing technologies such as transistors, lasers, and MRI machines.