wave-particle duality
https://plus.maths.org/content/taxonomy/term/242
enSchrödinger's equation — what does it mean?
https://plus.maths.org/content/schrodingers-equation-what-does-it-mean
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Marianne Freiberger </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="99" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/30_jul_2012_-_1711/icon.png?1343664682" /> </div>
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<p>In the <a href="https://plus.maths.org/content/schrodinger-1">first article</a> of this series we introduced Schrödinger's
equation and in the <a href="https://plus.maths.org/content/schrodingers-equation-action">second</a> we saw it in action using a simple example. But how should
we interpret its solution, the wave function? What does it tell us
about the physical world?</p> </div>
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<p><em>In the <a href="https://plus.maths.org/content/schrodinger-1">first article</a> of this series we introduced Schrödinger's
equation and in the <a href="https://plus.maths.org/content/schrodingers-equation-action">second</a> we saw it in action using a simple example. But how should
we interpret its solution, the wave function? What does it tell us
about the physical world? We went to speak to Tony Short and
Nazim Bouatta, both theoretical physicists at the University of Cambridge, to find out.</em></p><p><a href="https://plus.maths.org/content/schrodingers-equation-what-does-it-mean" target="_blank">read more</a></p>https://plus.maths.org/content/schrodingers-equation-what-does-it-mean#commentsmathematical realityEverett interpretationquantum mechanicsquantum physicsquantum uncertaintySchrödinger equationwave functionwave function collapsewave-particle dualityThu, 02 Aug 2012 09:00:51 +0000mf3445707 at https://plus.maths.org/contentSchrödinger's equation — in action
https://plus.maths.org/content/schrodingers-equation-action
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Marianne Freiberger </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/30_jul_2012_-_1419/box_icon.jpg?1343654371" /> </div>
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<p>In the <a href="https://plus.maths.org/content/schrodinger-1">previous article</a> we introduced Schrödinger's equation and its solution, the wave function, which contains all the information there is to know about a quantum system. Now it's time to see the equation in action, using a very simple physical system as an example. We'll also look at another weird phenomenon called quantum tunneling. </p> </div>
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<p><em>In the <a href="https://plus.maths.org/content/schrodinger-1">previous article</a> we introduced Schrödinger's equation and its solution, the wave function, which contains all the information there is to know about a quantum system. Now it's time to see the equation in action, using a very simple physical system as an example. We'll also look at another weird phenomenon called quantum tunneling.<p><a href="https://plus.maths.org/content/schrodingers-equation-action" target="_blank">read more</a></p>https://plus.maths.org/content/schrodingers-equation-action#commentsmathematical realityparticle in a boxquantum mechanicsquantum physicsquantum tunnelingSchrödinger equationwave functionwave-particle dualityThu, 02 Aug 2012 08:45:16 +0000mf3445705 at https://plus.maths.org/contentSchrödinger's equation — what is it?
https://plus.maths.org/content/schrodinger-1
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Marianne Freiberger </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/abstractpics/5/30_jul_2012_-_1351/icon.jpg?1343652684" /> </div>
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<p>In the 1920s the Austrian physicist Erwin Schrödinger came up with what has become the central equation of quantum mechanics. It tells you all there is to know about a quantum physical system and it also predicts famous quantum weirdnesses such as superposition and quantum entanglement. In this, the first article of a three-part series, we introduce Schrödinger's equation and put it in its historical context.</p>
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[maths]Here is a typical textbook question. Your car has run out of petrol. With how much force do you need to push it to accelerate it to a given speed?
The answer comes from Newton's second law of motion:
$$F=ma,$$ where $a$ is acceleration, $F$ is force and $m$ is mass.<p><a href="https://plus.maths.org/content/schrodinger-1" target="_blank">read more</a></p>https://plus.maths.org/content/schrodinger-1#commentsmathematical realityNewtonian mechanicsquantum mechanicsquantum physicsquantum uncertaintySchrödinger equationUniversity of Cambridgewave functionwave-particle dualityThu, 02 Aug 2012 08:30:52 +0000mf3445704 at https://plus.maths.org/contentThe crystallising Universe
https://plus.maths.org/content/crystallising-universe
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Kate Becker </div>
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<p>According to Einstein, the past, present and future have exactly the same character - so why do we feel that there is a particular moment we call "now"? The physicist George Ellis looks for an answer in the curious laws of quantum mechanics.</p>
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<div class="rightimage" style="width: 200px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/packages/2011/fqxi/fqxi_logo.jpg" width="200" height="42" alt="FQXi logo"/></div><p><em>This article first appeared on the <a href="http://www.fqxi.org/community/articles/display/152">FQXi community website</a>, which does for physics and cosmology what <em>Plus</em> does for maths: provide the public with a deeper understanding of known and future discoveries in these areas, and their potential implications for our worldview.<p><a href="https://plus.maths.org/content/crystallising-universe" target="_blank">read more</a></p>https://plus.maths.org/content/crystallising-universe#commentsFrontiers of physicsmathematical realityquantum mechanicsquantum superpositionwave functionwave-particle dualityTue, 23 Aug 2011 09:50:49 +0000mf3445546 at https://plus.maths.org/contentThe search for Higgs
https://plus.maths.org/content/search-higgs
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<p>Tantalising evidence for the existence of a fundamental particle, which has been predicted but never observed, won for the world's largest particle collider a brief stay of execution, but was not enough to save it.</p><p><a href="https://plus.maths.org/content/search-higgs" target="_blank">read more</a></p>https://plus.maths.org/content/search-higgs#commentscosmological inflationcosmologygroup theoryhiggs bosonHiggs fieldparticle colliderstandard modeltau neutrinowave-particle dualityMon, 01 Jan 2001 00:00:00 +0000plusadmin2793 at https://plus.maths.org/contentLight's identity crisis
https://plus.maths.org/content/lights-identity-crisis
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Peter Landshoff </div>
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What is light? Sometimes it seems wave-like and sometimes particle like. See how Einstein applied his theory of relativity to the problem, predicted that photons have no mass and laid the foundations for quantum mechanics. </div>
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<p>A moving charged particle, such as an electron, experiences electric and magnetic forces. In the middle of the 19th century, the Scottish physicist James Clerk Maxwell wrote down a set of equations which unified these two forces into a single theory. This led him to understand light waves (and radio waves) as electromagnetic oscillations propagating through a vacuum.</p><p><a href="https://plus.maths.org/content/lights-identity-crisis" target="_blank">read more</a></p>https://plus.maths.org/content/lights-identity-crisis#comments5diffractionelectromagnetismenergymomentumphoto-electric effectwave-particle dualityThu, 30 Apr 1998 23:00:00 +0000plusadmin2141 at https://plus.maths.org/contentQuantum uncertainty
https://plus.maths.org/content/quantum-uncertainty
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Peter Landshoff </div>
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Quantum mechanics is the physics of the extremely small. With something so far outside our everyday experience it's not surprising to find mathematics at the heart of it all. But at the quantum scale nothing in life is certain... <b>Peter Landshoff</b> explains. </div>
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<div class="pub_date">May 1998</div>
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<p>Quantum mechanics has had an enormous impact on our everyday lives. It is crucial to understanding how many devices work: the transistors in our radios, the lasers in our CD players, the microchips in our computers. <!-- FILE: include/centrefig.html --></p><p><a href="https://plus.maths.org/content/quantum-uncertainty" target="_blank">read more</a></p>https://plus.maths.org/content/quantum-uncertainty#comments5de Broglie relationquantum uncertaintySchrödinger equationwave functionwave-particle dualityThu, 30 Apr 1998 23:00:00 +0000plusadmin2142 at https://plus.maths.org/content