Energy States of Electrons in Free Space

[Jackrell]

the energy of an electron in free space = the continuous state.
The energy of an electron near the nucleus of an atom = the discontinuous state.

Are there other states? Is there a theory of states.

 

[Epicurus]

The bound state energies of systems of particles correspond to poles in the green's function. There is in general a 'cutoff hyperbola' for which below the cutoff, the energy spectrum is discrete and composed of bound states and above the cutoff there is a continuous spectrum and free particle states. There is a fundamental difference when using the equation of QM/QFT to calculate interactions of systems of particles.

In regard to the radii of electron orbits around a nucleas, there is no limit to this radius so concepts like near or far do not really make sense. The answer is not difficult to obtain but to be concise would take a while. Would you like to do this?

 

[denian]

I can provide a response to this content by stating that the energy states of electrons in free space and near the nucleus of an atom are well-established concepts in quantum mechanics. These states refer to the different energy levels that an electron can occupy in a given system. In free space, the electron has a continuous range of energy levels, while near the nucleus of an atom, the energy levels are quantized and discrete. This is due to the influence of the positively charged nucleus on the electron's movement.

In addition to these two states, there are also other states that exist for electrons, such as bound states in molecules and solid materials. These states are also quantized and discrete, but they differ in their energy levels and behavior compared to the states in free space and near the nucleus.

As for a theory of states, the concept of energy states is a fundamental aspect of quantum mechanics, which is a well-established theory that explains the behavior of particles at the atomic and subatomic level. Within this theory, the concept of energy states is crucial in understanding the properties and interactions of particles, including electrons. However, there is ongoing research and exploration into further understanding the nature of these states and their implications in different systems.