![]() Where Φ(x) is the spatial part of the wave function and Ψ(t) is the time part of the wave function. This is the time-dependent Schrödinger equation.Ĭ) To obtain the time-independent Schrödinger equation, we assume that the wave function can be separated into a time-dependent part and a time-independent part: schrodinger time independent wave equation schrodinger time independent wave equation in hindischrodinger time independent equation derivationalso check schr. Substituting the expressions for the kinetic energy and potential energy into the Hamiltonian, we have: Now, the time-dependent Schrödinger equation can be written as: Substituting this expression for the momentum operator into the expression for the kinetic energy, we have: The momentum operator is related to the spatial derivative by the de Broglie relation: In quantum mechanics, the kinetic energy is given by the momentum operator squared divided by twice the mass: Where H is the total energy of the system, T is the kinetic energy, and V is the potential energy. In quantum mechanics, the kinetic energy is given by the. B) To derive the time-dependent Schrödinger equation, we start with the classical Hamiltonian: ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |