Nice Kurdt ! Now I look sillyKurdt said:
Doc Al said:
The Schrödinger equation is a mathematical equation that describes how the quantum state of a physical system changes with time. It is a fundamental equation in quantum mechanics and is used to predict the behavior of particles and systems at the atomic and subatomic level.
The Schrödinger equation is a wave equation that describes the behavior of particles at the quantum level. It is related to wave-particle duality because it shows that particles can behave like waves, and their position and momentum are described by wave functions.
The Schrödinger equation is a wave equation that describes the evolution of a particle's quantum state in time, while the Heisenberg equation is an operator equation that describes the evolution of observables, such as position and momentum, in time. The Schrödinger equation is used to predict the behavior of particles, while the Heisenberg equation is used to calculate the values of observables.
The Hamiltonian is a mathematical operator that represents the total energy of a system. In the Schrödinger equation, it is used to calculate the time evolution of a particle's wave function. The Hamiltonian is a fundamental concept in quantum mechanics and is used to describe the behavior of particles and systems at the atomic and subatomic level.
The Schrödinger equation can be solved analytically for simple systems, such as the hydrogen atom, using mathematical techniques like separation of variables. For more complex systems, numerical methods are used to solve the equation and predict the behavior of particles. Additionally, approximate solutions can be found using perturbation theory, which is based on making small corrections to an already known solution.