That's right. For more details see e.g.beda said:I feel there are several non-eqivalent interpretations of energy-tme uncertainty principle.It is right?
Demystifier said:That's right. For more details see e.g.
http://lanl.arxiv.org/abs/quant-ph/0105049
I believe that energy-time uncertainty is used for explanation of tunneling only in popular books on quantum physics, not in serious scientific texts.anorlunda said:Thanks for the link, that paper was interesting. I searched the paper for mention of tunneling, but none were found.
It had always been my understanding that energy-time uncertainty could be used to explain some kinds of quantum tunneling. Is that correct?
Jilang said:In QM tunneling can it even be said that the particle spends any real time inside the barrier? You cannot find it there.
The energy-time uncertainty principle is a fundamental principle in quantum mechanics that states that it is impossible to simultaneously determine the exact energy and time of a quantum system. This means that the more precisely we measure the energy of a particle, the less precisely we can know its measurement in time, and vice versa.
The energy-time uncertainty principle was first proposed by German physicist Werner Heisenberg in 1927. He introduced this principle as part of his uncertainty principle, which also includes the position-momentum uncertainty principle.
The energy-time uncertainty principle is significant in quantum mechanics because it puts a fundamental limit on our ability to measure the energy and time of a particle. It also highlights the inherently probabilistic nature of quantum systems, where we can only make predictions about the behavior of particles rather than determining their exact properties.
The energy-time uncertainty principle is a specific case of the Heisenberg uncertainty principle, which states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle can be known simultaneously. The energy and time are one such pair of properties, and the energy-time uncertainty principle provides a more precise understanding of the uncertainty in these measurements.
While the energy-time uncertainty principle may seem to only apply to the microscopic world of quantum mechanics, it has significant implications for our everyday lives. It forms the basis of modern technologies, such as transistors, lasers, and computer memory, which rely on the principles of quantum mechanics. Without this understanding of uncertainty, many of our modern technologies would not be possible.