Schrödinger Potential Fields with no Energy Quantisation?

In summary: Continuum states, by the way, are essentially not a bound state anymore and in fact they don't correspond to physically realizable state because they do not go to zero at infinities (probably I should also have added this beforehand to the possible reason of the difficulty of observing continuum...).
  • #36
stevendaryl said:
This is easiest to see in the rest frame of the particle. Then initially, the momentum is zero. Initially, the energy is [itex]mc^2[/itex]. After it emits a photon, the energy of the particle must still be at least [itex]mc^2[/itex] (because that's the lowest possible energy of the particle), which means that the energy of the photon has to zero (or negative!) to get energy to balance.
oh yeah. there is no incoming photon that exists which can collide with the electron or something.
 
<h2>1. What is the Schrödinger Potential Field with no Energy Quantisation?</h2><p>The Schrödinger Potential Field with no Energy Quantisation is a theoretical concept in quantum mechanics that describes a system in which energy levels are not quantized. This means that the energy of the system can take on any value, rather than being restricted to discrete levels.</p><h2>2. How does the Schrödinger Potential Field with no Energy Quantisation differ from traditional quantum mechanics?</h2><p>In traditional quantum mechanics, energy levels are quantized, meaning they can only have certain discrete values. In the Schrödinger Potential Field with no Energy Quantisation, energy levels are continuous and can take on any value. This has significant implications for the behavior of particles and systems.</p><h2>3. What are the potential applications of the Schrödinger Potential Field with no Energy Quantisation?</h2><p>The Schrödinger Potential Field with no Energy Quantisation has potential applications in the study of complex systems, such as biological systems, where energy levels may not be well-defined. It may also have implications for the development of new technologies, such as quantum computing.</p><h2>4. How is the Schrödinger Potential Field with no Energy Quantisation related to the uncertainty principle?</h2><p>The Schrödinger Potential Field with no Energy Quantisation is related to the uncertainty principle in that it challenges the traditional idea that energy levels are well-defined and measurable. The uncertainty principle states that there is a fundamental limit to how precisely we can know certain pairs of physical properties, such as position and momentum, and this uncertainty is also applicable to energy levels.</p><h2>5. Is there any experimental evidence for the existence of the Schrödinger Potential Field with no Energy Quantisation?</h2><p>Currently, there is no experimental evidence for the existence of the Schrödinger Potential Field with no Energy Quantisation. It is a theoretical concept that is still being explored and studied by scientists. However, some experiments have shown behavior that is consistent with the idea of continuous energy levels, providing some support for this concept.</p>

Related to Schrödinger Potential Fields with no Energy Quantisation?

1. What is the Schrödinger Potential Field with no Energy Quantisation?

The Schrödinger Potential Field with no Energy Quantisation is a theoretical concept in quantum mechanics that describes a system in which energy levels are not quantized. This means that the energy of the system can take on any value, rather than being restricted to discrete levels.

2. How does the Schrödinger Potential Field with no Energy Quantisation differ from traditional quantum mechanics?

In traditional quantum mechanics, energy levels are quantized, meaning they can only have certain discrete values. In the Schrödinger Potential Field with no Energy Quantisation, energy levels are continuous and can take on any value. This has significant implications for the behavior of particles and systems.

3. What are the potential applications of the Schrödinger Potential Field with no Energy Quantisation?

The Schrödinger Potential Field with no Energy Quantisation has potential applications in the study of complex systems, such as biological systems, where energy levels may not be well-defined. It may also have implications for the development of new technologies, such as quantum computing.

4. How is the Schrödinger Potential Field with no Energy Quantisation related to the uncertainty principle?

The Schrödinger Potential Field with no Energy Quantisation is related to the uncertainty principle in that it challenges the traditional idea that energy levels are well-defined and measurable. The uncertainty principle states that there is a fundamental limit to how precisely we can know certain pairs of physical properties, such as position and momentum, and this uncertainty is also applicable to energy levels.

5. Is there any experimental evidence for the existence of the Schrödinger Potential Field with no Energy Quantisation?

Currently, there is no experimental evidence for the existence of the Schrödinger Potential Field with no Energy Quantisation. It is a theoretical concept that is still being explored and studied by scientists. However, some experiments have shown behavior that is consistent with the idea of continuous energy levels, providing some support for this concept.

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