Ignoring spin, the possible energies of a quanton moving in one dimension are only quantized if the quanton is bound.

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In quantum mechanics, the energy levels of a particle (quanton) are only quantized if the particle is in a bound state, such as an electron in an atom or a particle in a potential well. For a free particle moving in one dimension without any constraints (unbound), the energy can take a continuous range of values.

Ignoring Spin, the Possible Energies of a Quanton Moving in One