- #1

cytochrome

- 166

- 3

Aexp(i(kx - ωt))

Is there a special relationship between k and ω for this to be a solution, or is it always a solution?

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- Thread starter cytochrome
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In summary, the Schrodinger equation is a fundamental equation in quantum mechanics that describes how a system changes over time. Its solution represents the wave function of a quantum mechanical system and is found using various mathematical techniques. This equation has many applications in modern physics, but it also has some limitations, such as its inability to fully describe particles at the atomic and subatomic level.

- #1

cytochrome

- 166

- 3

Aexp(i(kx - ωt))

Is there a special relationship between k and ω for this to be a solution, or is it always a solution?

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- #2

Jorriss

- 1,083

- 26

The energy is only kinetic, p = hk (that should be h bar), E = hω (again, h bar).

The Schrodinger equation is a mathematical equation that describes how a quantum mechanical system changes over time. It was developed by Austrian physicist Erwin Schrodinger in 1925 and is a fundamental equation in quantum mechanics.

The solution to the Schrodinger equation represents the wave function of a quantum mechanical system. This wave function contains information about the probability of finding a particle in a certain location or state.

The Schrodinger equation is solved using various mathematical techniques, such as separation of variables, perturbation theory, and numerical methods. The exact method used depends on the specific system being studied.

The Schrodinger equation has many applications in modern physics, including the study of atoms, molecules, and other quantum systems. It is also used in fields such as quantum chemistry, materials science, and quantum computing.

While the Schrodinger equation is a powerful tool in quantum mechanics, it has some limitations. For example, it cannot fully describe the behavior of particles at the atomic and subatomic level, which require more advanced theories such as quantum field theory and string theory.

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