The discussion centers on the relationship between quantum phenomena and their associated wavelengths and frequencies, particularly in the context of formulating gravity in quantum terms. It is established that while quantum phenomena involve wavelengths, the assumption that they must always be small is incorrect. The conversation highlights that quantum energy can exist without a defined frequency or wavelength, challenging traditional views based on the de Broglie wavelength and atomic physics. The formula for energy transitions, $$E=h\nu$$, is referenced to illustrate the complexities of quantum energy states.
PREREQUISITESPhysicists, quantum mechanics students, and researchers interested in the intersection of quantum theory and gravitation.
south said:When a phenomenon is quantum, there's a wavelength involved
OK. Same question in terms of frequency. Should it be on the order of atomic frequencies or on the order of lower frequencies?weirdoguy said:No, there does not have to be.
south said:Same question in terms of frequency.
@south It is the other way around, the shorter deBroglie wavelength is the more "classical" a system is. In very low temperatures, when the energy is low, the deBroglie wavelengths associated with the quantum systems are very large and therefore can easily overlap with each other. In this case the quantum effects are important.south said:The habit is assuming a small wavelength when the phenomenon is quantum.
The formula ##\Delta E = h\nu## is true for differences ##\Delta E = E_1 - E_2## between the energies of two quantum levels. Then ##\nu## is the frequency of a photon emitted or absorbed during the transition between the energy levels ##E_1## and ##E_2##.south said:Quantum energy without frequency nor wavelength? Good bye
$$E=h.\nu$$
?
Sure. Not all quantum energy is contained in radiation, and even for radiation, not all radiation is in a state which has a well-defined frequency or wavelength.south said:Quantum energy without frequency nor wavelength?