Changes

Contrary to popular belief, this is ''not'' merely a measurement issue. While it is often stated that it is not possible to know the precise position and momentum of a particle at the same time, this is misleading; this statement implies that the particle has precisely defined position and momentum, but that information is unavailable to us. In fact, the Uncertainty Principle tells us that a particle cannot have precisely defined position or momentum.

Contrary to popular belief, this is ''not'' merely a measurement issue. While it is often stated that it is not possible to know the precise position and momentum of a particle at the same time, this is misleading; this statement implies that the particle has precisely defined position and momentum, but that information is unavailable to us. In fact, the Uncertainty Principle tells us that a particle cannot have precisely defined position or momentum.

A similar example is [[time]] and [[energy]], the product of which also has a lower limit. Quantum fluctuations are a result of this, where for short time, there is enough energy in "empty space" to create a pair of particle and antiparticle, such as electron and positron. Although this appears to be a strange or extreme process, it is the only one to explain some properties of black holes. Laser physics with ultrashort [[laser]] pulses is another field, where the limit in the product of time and energy plays an important role.

A similar example is [[time]] and [[energy]], the product of which also has a lower limit. Quantum fluctuations are a result of this, where for short time, there is enough energy in "empty space" to create a pair of particle and antiparticle, such as [[electron]] and [[positron]]. Although this appears to be a strange or extreme process, it is the only one to explain some properties of black holes. Laser physics with ultrashort [[laser]] pulses is another field, where the limit in the product of time and energy plays an important role.

[[Category:Quantum Mechanics]]

[[Category:Quantum Mechanics]]

[[Category:Chemistry]]

[[Category:Chemistry]]