how Energy time uncertainty principle account for the broadening of a level?
thanks in advance
thanks in advance
Where on Earth did you get that idea. Energy conservation is one of the cornerstones of physics, and holds exactly, even in quantum mechanics. You cannot violate it, even if you're quick! If an instance of an excited state has slightly less energy, it just means that slightly more energy was transferred to another particle when the state was excited.We can violate conservation of energy by amount ΔE provided we do it for less than Δt=h/2πΔE.
Bill_K said:Where on Earth did you get that idea. Energy conservation is one of the cornerstones of physics, and holds exactly, even in quantum mechanics. You cannot violate it, even if you're quick! If an instance of an excited state has slightly less energy, it just means that slightly more energy was transferred to another particle when the state was excited.
That's a very nice example, I'll bear that in mind.Simon Bridge said:However - sometimes these intermediate calculations turn out to have a reality about them - like with monochromatic reflection: it is possible to get a stronger reflection by removing most of the mirror since the law of reflection only works on average. The intermediate calculation is to sum the phases over every possible reflection point even where the angles are not equal. We find that the many of the phases cancel each other out - but if we only allow reinforcing terms (by removing the others), then the reflection gets stronger. Ergo: the extra paths in the intermediate calculation are occasionally traversed (or something).
The energy-time uncertainty principle, also known as the Heisenberg uncertainty principle, states that the more precisely we know the energy of a particle, the less precisely we can know its time of occurrence, and vice versa. It is one of the fundamental principles of quantum mechanics and highlights the limitations of our ability to measure certain properties of particles simultaneously.
The energy-time uncertainty principle is closely related to the position-momentum uncertainty principle. Both principles state that certain properties of particles, such as energy and position, cannot be measured simultaneously with absolute precision. This is due to the inherent probabilistic nature of particles at the quantum level.
No, the energy-time uncertainty principle is a fundamental principle of quantum mechanics and cannot be violated. It is a consequence of the probabilistic nature of particles and the limitations of our ability to measure their properties simultaneously.
The energy-time uncertainty principle is a crucial concept in quantum mechanics and has implications for our understanding of the universe at the smallest scales. It suggests that there are fundamental limits to our ability to predict the behavior of particles and has led to the development of theories and technologies, such as quantum computing, that take this principle into account.
The energy-time uncertainty principle has practical applications in various fields, such as quantum cryptography, where it is used to ensure the security of communication channels. It also plays a crucial role in the development of quantum technologies, such as quantum computers and sensors, which rely on principles of quantum mechanics to function.