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- Thread starter iScience
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In summary, there is often confusion about the term "time independent wave function." It is typically used to describe either the Schrodinger equation or Hamiltonian. The time-independent Schrodinger equation is an Eigenvalue equation for the Hamiltonian operator. When the Hamiltonian is time-independent, the solutions of this equation, along with the initial state and a known propagator, can determine the wave function at any future point in time.

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The initial wave function describes the state of a quantum system at a specific point in time, while the time independent wave function describes the probability distribution of the system's state over time.

No, the initial wave function is constant and does not change over time. It is a fixed representation of the state of the system at a specific moment.

The time independent wave function is a solution to the Schrödinger equation, which describes the evolution of a quantum system over time. It allows us to calculate the probability of finding the system in a particular state at a given time.

No, the time independent wave function can vary depending on the potential energy of the system. Different potential energy functions can result in different time independent wave functions for the same initial wave function.

No, the time independent wave function only provides a probability distribution for the system's state over time. It cannot predict the exact state of the system at a specific time, but it can give us the probability of finding the system in a particular state.

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