Difference between revisions of "Quantum mechanics"
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Classical mechanics would predict that an electron orbits a proton just as planets orbit the sun. Classical electromagnetism would predict that the orbiting electron would emit a time-varying electrical field just as a radio station does. But the electron would lose energy as it emits this radiation, and would orbit closer and closer to the proton, until it collapses into the proton! Such a model cannot be correct. | Classical mechanics would predict that an electron orbits a proton just as planets orbit the sun. Classical electromagnetism would predict that the orbiting electron would emit a time-varying electrical field just as a radio station does. But the electron would lose energy as it emits this radiation, and would orbit closer and closer to the proton, until it collapses into the proton! Such a model cannot be correct. | ||
| − | Quantum mechanics posits that an electron (or any other sub-atomic particle) behaves as both a wave and a particle. As a result of the wave nature of the electron, the position of the electron | + | Quantum mechanics posits that an electron (or any other sub-atomic particle) behaves as both a wave and a particle. As a result of the wave nature of the electron, the position of the electron can never be precisely known. Whenever it is attempted to be measured, knowledge of the electron's velocity is immediately lost. Hence, there is an inherent uncertainty that prevents precisely measuring both the position and the momentum simultaneously. This is known as the [[Heisenberg Uncertainty Principle]]. |
Quantum mechanics forms the basis for our understanding of chemical reactions, as well as all computers and electronic devices today. | Quantum mechanics forms the basis for our understanding of chemical reactions, as well as all computers and electronic devices today. | ||
| − | An important aspect of Quantum Mechanics is the predictions it makes about the radioactive decay of isotopes. This decay is random, and the randomness is inherently a quantum mechanical effect | + | An important aspect of Quantum Mechanics is the predictions it makes about the radioactive decay of isotopes. This decay is random, and the randomness is inherently a quantum mechanical effect. |
==Mathematics== | ==Mathematics== | ||
| − | The mathematics of Quantum mechanics | + | The mathematics of Quantum mechanics can be formulated using the language of infinite dimensional [[Hilbert Space]]s; observables such as position and momentum are [[operator]]s on such Hilbert Spaces, or using alternatively using matrices. |
==External Links== | ==External Links== | ||
Revision as of 13:30, June 1, 2007
Quantum mechanics consists of the breakthrough in physics in the 1920s in understanding how particles behave inside atoms. Classical mechanics, as initially discovered by Isaac Newton, cannot explain atomic behavior.
Classical mechanics would predict that an electron orbits a proton just as planets orbit the sun. Classical electromagnetism would predict that the orbiting electron would emit a time-varying electrical field just as a radio station does. But the electron would lose energy as it emits this radiation, and would orbit closer and closer to the proton, until it collapses into the proton! Such a model cannot be correct.
Quantum mechanics posits that an electron (or any other sub-atomic particle) behaves as both a wave and a particle. As a result of the wave nature of the electron, the position of the electron can never be precisely known. Whenever it is attempted to be measured, knowledge of the electron's velocity is immediately lost. Hence, there is an inherent uncertainty that prevents precisely measuring both the position and the momentum simultaneously. This is known as the Heisenberg Uncertainty Principle.
Quantum mechanics forms the basis for our understanding of chemical reactions, as well as all computers and electronic devices today.
An important aspect of Quantum Mechanics is the predictions it makes about the radioactive decay of isotopes. This decay is random, and the randomness is inherently a quantum mechanical effect.
Mathematics
The mathematics of Quantum mechanics can be formulated using the language of infinite dimensional Hilbert Spaces; observables such as position and momentum are operators on such Hilbert Spaces, or using alternatively using matrices.
External Links
For an excellent discussion of quantum mechanics, see: http://www.chemistry.ohio-state.edu/betha/qm/
See also: Momentum (operator)