Dr. Pascal Szriftgiser: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=231142
en-us2019 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemMon, 22 Apr 2019 14:21:49 GMTMon, 22 Apr 2019 14:21:49 GMTNew applications published by Dr. Pascal Szriftgiserhttps://www.maplesoft.com/images/Application_center_hp.jpgDr. Pascal Szriftgiser: New Applications
https://www.maplesoft.com/applications/author.aspx?mid=231142
Quantization of the Lorentz Force
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Departing from the Hamiltonian of a quantum, non-relativistic, particle with mass m and charge q, evolving under the action of an arbitrary time-independent matgnetic field, derive the expression of the quantized Lorentz force.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/206511-Quantization-Of-The-Lorentz-Force">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154168/quantum.jpg" alt="Quantization of the Lorentz Force" style="max-width: 25%;" align="left"/>Departing from the Hamiltonian of a quantum, non-relativistic, particle with mass m and charge q, evolving under the action of an arbitrary time-independent matgnetic field, derive the expression of the quantized Lorentz force.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/206511-Quantization-Of-The-Lorentz-Force">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154168&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabGround state of a quantum system of identical boson particles
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Departing from the Energy of a quantum system of identical boson particles, the field equation, that is the Gross-Pitaevskii equation, is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200109-Quantum-Mechanics-Using-Computer-Algebra">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154156/quantum.jpg" alt="Ground state of a quantum system of identical boson particles" style="max-width: 25%;" align="left"/>Departing from the Energy of a quantum system of identical boson particles, the field equation, that is the Gross-Pitaevskii equation, is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200109-Quantum-Mechanics-Using-Computer-Algebra">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154156&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabThe Gross-Pitaevskii equation and Bogoliubov spectrum
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The spectrum of its solutions of the equation for a quantum system of identical particles, that is the Gross-Pitaevskii equation (GPE) is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200120-Quantum-Mechanics-II">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154155/theoreticalphysics.jpg" alt="The Gross-Pitaevskii equation and Bogoliubov spectrum" style="max-width: 25%;" align="left"/>The spectrum of its solutions of the equation for a quantum system of identical particles, that is the Gross-Pitaevskii equation (GPE) is derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200120-Quantum-Mechanics-II">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154155&ref=FeedFri, 30 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabQuantum Mechanics: SchrÃ¶dinger vs Heisenberg picture
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Departing from the Shrodinger picture of Quantum Mechanics, the Heisenberg picture and related formulas are derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/205867-Quantum-Mechanics-Schrdinger-Vs-Heisenberg">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154153/theoreticalphysicsThumb.jpg" alt="Quantum Mechanics: SchrÃ¶dinger vs Heisenberg picture" style="max-width: 25%;" align="left"/>Departing from the Shrodinger picture of Quantum Mechanics, the Heisenberg picture and related formulas are derived.
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This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/205867-Quantum-Mechanics-Schrdinger-Vs-Heisenberg">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154153&ref=FeedThu, 29 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-TerrabThe Landau criterion for Superfluidity
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The conditions for superfluidity of a system of identical particles at low temperature are derived.<BR><BR>This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200240-Superfluidity-In-Quantum-Mechanics">blog post on MaplePrimes</A>.<img src="https://www.maplesoft.com/view.aspx?si=154154/quantummechanics.jpg" alt="The Landau criterion for Superfluidity" style="max-width: 25%;" align="left"/>The conditions for superfluidity of a system of identical particles at low temperature are derived.<BR><BR>This application is also the subject of a <A HREF="http://www.mapleprimes.com/posts/200240-Superfluidity-In-Quantum-Mechanics">blog post on MaplePrimes</A>.https://www.maplesoft.com/applications/view.aspx?SID=154154&ref=FeedThu, 29 Sep 2016 04:00:00 ZDr. Edgardo Cheb-TerrabDr. Edgardo Cheb-Terrab