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'''Quantum mechanics''' added to [[classical physics]] (in the 1920s) an understanding how particles behave inside [[atom]]sQuantum mechanics posits that an [[electron]] (or any other [[sub-atomic particle]]) behaves as both a [[wave]] and a [[particle]].   
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'''Quantum mechanics''' is the branch of [[physics]] that describes the behavior of systems on very small length and energy scales, such as those found in [[atom]]ic and subatomic interactionsIt is essential for understanding certain concepts that classical physics cannot explain, such as the discrete nature of small-scale interactions, [[wave-particle duality]], the [[uncertainty principle]], and [[quantum entanglement]].  Quantum mechanics forms the basis for our understanding of many phenomena, including [[chemical reaction]]s and [[radioactive decay]], 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.
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==History==
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While the roots of quantum mechanics can be traced to experiments performed in the 19th century, the theory began to emerge when [[Max Planck]] proposed a "quantum hypothesis" to explain the energy spectrum of [[black body]] radiation in 1900. In 1905, [[Albert Einstein]] suggested that light is composed of discrete packets (''quanta'') in order to explain the [[photoelectric effect]].  A decade later, [[Neils Bohr]] proposed a model of the atom in which [[angular momentum is quantized]].  Eventually, the mathematical formalism that became known as quantum mechanics was developed in the 1920s and 1930s, with [[Erwin Schrodinger]]'s discovery of wave mechanics and [[Werner Heisenberg]]'s discovery of matrix mechanics.
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==The uncertainty principle==
 
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 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]].
 
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 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]].
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==Applications==
 
An important aspect of Quantum Mechanics is the predictions it makes about the [[radioactive decay]] of [[isotopes]].  Radioactive decay processes, controlled by the wave equations, are random events.  A radioactive atom has a certain probability of decaying per unit time.  As a result, the decay results in an exponential decrease in the amount of isotope remaining in a given sample as a function of time.  The characteristic time required for 1/2 of the original amount of isotope to decay is known as the "half-life" and can vary from quadrillionths of a second to quintillions of years.
 
An important aspect of Quantum Mechanics is the predictions it makes about the [[radioactive decay]] of [[isotopes]].  Radioactive decay processes, controlled by the wave equations, are random events.  A radioactive atom has a certain probability of decaying per unit time.  As a result, the decay results in an exponential decrease in the amount of isotope remaining in a given sample as a function of time.  The characteristic time required for 1/2 of the original amount of isotope to decay is known as the "half-life" and can vary from quadrillionths of a second to quintillions of years.
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See:
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==See also==
*[[Erwin Schrodinger]], [[Schrodinger equation]]
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===Concepts in quantum mechanics===
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*[[Schrodinger equation]]
 
*[[Heisenberg uncertainty principle]]
 
*[[Heisenberg uncertainty principle]]
 
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*[[Momentum (operator)]]
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===Important contributors to quantum mechanics===
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*[[Erwin Schrodinger]]
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*[[Werner Heisenberg]]
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*[[Neils Bohr]]
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*[[Albert Einstein]]
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*[[Max Planck]]
    
==External Links==
 
==External Links==
 
For an excellent discussion of quantum mechanics, see:
 
For an excellent discussion of quantum mechanics, see:
 
http://www.chemistry.ohio-state.edu/betha/qm/
 
http://www.chemistry.ohio-state.edu/betha/qm/
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See also: [[Momentum (operator)]]
      
[[Category:Quantum Mechanics]]
 
[[Category:Quantum Mechanics]]
 
[[Category:Physics]]
 
[[Category:Physics]]
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