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ironcross77
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Why the energy eigen values for negetive energies are always discrete while that for positive energies are always continuous?
Also what is oscillation theorem?
Also what is oscillation theorem?
Energy eigen values for negative energies are always discrete because of the nature of the energy levels in a system. In quantum mechanics, energy is quantized, meaning it can only exist in certain discrete values. This is due to the wave-particle duality of matter, where particles can also exhibit wave-like behavior. Therefore, the energy levels of a system can only exist in certain discrete values, resulting in discrete energy eigen values for negative energies.
No, energy eigen values for negative energies cannot be continuous. This is because the concept of energy being quantized applies to all energy levels, including negative energies. As mentioned before, energy can only exist in certain discrete values, so there can never be a continuous range of energy eigen values for negative energies.
Negative energies have discrete energy eigen values because of the boundary conditions imposed on the system. These boundary conditions dictate the possible energy levels that can exist in the system, including negative energy levels. As mentioned before, energy is quantized, so even negative energies must have discrete energy eigen values in accordance with the boundary conditions.
Yes, there is a physical significance to the discrete energy eigen values for negative energies. These discrete energy levels play a crucial role in understanding the behavior and properties of particles in a system. They also help explain phenomena such as the stability of atoms and the quantization of energy in atomic and subatomic systems.
Yes, the discreteness of energy eigen values for negative energies can be observed in experiments. For example, in spectroscopy experiments, the emission or absorption of light by atoms can reveal the energy levels and transitions between them, which are discrete. This provides evidence for the quantization of energy and the existence of discrete energy eigen values for negative energies.