tag:blogger.com,1999:blog-3427479692989285926.post3915116736567217492..comments2017-08-03T18:12:40.631+10:00Comments on Journeyman Philosopher: Trying to understand Schrodinger’s equationPaul P. Mealinghttp://www.blogger.com/profile/14573615711151742992noreply@blogger.comBlogger29125tag:blogger.com,1999:blog-3427479692989285926.post-30596122601272852152015-10-22T14:37:44.316+11:002015-10-22T14:37:44.316+11:00Hi Sarath,
I'm not sure I'm the right per...Hi Sarath,<br /><br />I'm not sure I'm the right person to help you, as my knowledge is far from complete.<br /><br />What books you should read depends on how much mathematics you have learned.<br /><br />At the very least you need a knowledge of complex algebra (imaginary numbers), matrices and calculus in order to study quantum mechanics mathematically. And quantum mechanics is a mathematical subject if you want to study it properly.<br /><br />If your mathematics is not that strong, there are introductory texts written for people who are not science students but interested in science, like:<br /><br /><a href="http://www.amazon.co.uk/gp/product/031255530X?psc=1&redirect=true&ref_=oh_aui_detailpage_o00_s00" rel="nofollow">The God Effect: Quantum Entanglement, Science's Strangest Phenomenon</a> by Brian Clegg and <a href="http://www.amazon.co.uk/gp/product/0241235960?psc=1&redirect=true&ref_=oh_aui_detailpage_o00_s00" rel="nofollow">Seven Brief Lessons on Physics</a> by Carlo Rovelli. The last one became a bestseller in Italy and is on the Sunday Times bestseller list in England. I've recently ordered these, but not read them (ones I've read are below).<br /> <br />Roger Penrose's <a href="http://www.amazon.co.uk/Emperors-New-Mind-Concerning-Computers/dp/0192861980/ref=sr_1_1?s=books&ie=UTF8&qid=1445483716&sr=1-1&keywords=the+emperor%27s+new+mind" rel="nofollow">The Emperor's New Mind</a> is one of the best introductory books on physics I've read - it covers everything, not just quantum mechanics.<br /><br />Richard Feynmans' <a href="http://www.amazon.co.uk/QED-Strange-Theory-Penguin-Science-x/dp/0140125051/ref=sr_1_1?s=books&ie=UTF8&qid=1445483909&sr=1-1&keywords=qed+the+strange+theory+of+light+and+matter" rel="nofollow">QED</a> is probably the best on quantum mechanics, but there's also Brian Cox's <i>The Quantum Universe</i>, which he co-wrote with Jeff Forshaw and I review <a href="http://journeymanphilosopher.blogspot.com.au/2011/12/quantum-universe-by-brian-cox-and-jeff.html" rel="nofollow">here</a>. You may know Brian Cox from his BBC TV series on science. These books have minimum mathematics, but still require a level of mental perseverance to understand them. If you're really interested though, they're a good starting point.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-50762378830909441742015-10-22T03:26:01.742+11:002015-10-22T03:26:01.742+11:00paul could you help me to learn quantum physics??....paul could you help me to learn quantum physics??...could you mention the books which i have to study?Sarath Chandranhttps://www.blogger.com/profile/11487191951608774196noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-75251113372131569612015-10-22T03:23:31.772+11:002015-10-22T03:23:31.772+11:00paul can u help me to learn about quantum physics ...paul can u help me to learn about quantum physics Sarath Chandranhttps://www.blogger.com/profile/11487191951608774196noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-13389561055774259072015-03-01T18:44:59.500+11:002015-03-01T18:44:59.500+11:00Very well written Paul! I'm also very interest...Very well written Paul! I'm also very interested by the complex mechanics of the world, though my major is indeed completly unrelated to that... I assure you, your post was very easy and logical to follow; of course, I had a previous background before reading it... Euler's esuation, Fourier Transform, classical mechanics, etc; but anyways you did sum it all in a way anyone cad understand it!Peppershttps://www.blogger.com/profile/05028475340045835434noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-44922236100700819822014-07-22T20:25:53.901+10:002014-07-22T20:25:53.901+10:00Nice post Paul. I wish more people were interested...Nice post Paul. I wish more people were interested of trying to think about these things for themselves.<br /><br />I made a reference to this post in a comment to a blog post I made here;<br />http://foundationsofphysics.blogspot.com/2014/07/about-meaning-of-schrodinger-equation.html<br /><br />And I thought you might find that post interesting to think about yourself.Anssi Hyytiäinenhttps://www.blogger.com/profile/16836638486221364670noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-62046209939186589742014-06-17T01:05:06.118+10:002014-06-17T01:05:06.118+10:00I am doing research on the hidden variables of qua...I am doing research on the hidden variables of quantum mechanics at the "General science journal"<br />www.gsjournal.net<br />Spiros KOutandosSpiros Koutandoshttps://www.blogger.com/profile/17104176950492868734noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-38209819969695812842013-10-16T19:59:29.306+11:002013-10-16T19:59:29.306+11:00Hi Anonymous,
I'm glad you appreciate it. I&#...Hi Anonymous,<br /><br />I'm glad you appreciate it. I'm no Brian Cox or Roger Penrose, but I feel I can pass on my limited understanding of the subject. If you go to the link in the comment before yours, you'll find I tidy up a bit that was missing in the above post.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-254415259631414412013-10-15T03:53:13.186+11:002013-10-15T03:53:13.186+11:00This is the best explanation of Schrödinger's ...This is the best explanation of Schrödinger's equation I have seen by far. I am a junior in high school and have taken no physics or calculus but you broke down the equation in a way that I could follow. The background on the other fundamental physics equations and other physicists helped a lot. Thanks!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-16799117864608806502013-09-14T11:14:12.399+10:002013-09-14T11:14:12.399+10:00Hi Anon,
Thanks for your comment - this is my mos...Hi Anon,<br /><br />Thanks for your comment - this is my most popular post by far.<br /><br />I also eventually <a href="http://journeymanphilosopher.blogspot.com.au/2013/06/time-again-to-talk-about-time.html" rel="nofollow">finished the bit</a> I glossed over, which is how to derive the quantum term for momentum, a couple of years later.<br /><br />If you go to my Header you'll see I've written a Sci-Fi novel as well, called ELVENE.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-52060193741309318462013-09-14T10:35:22.619+10:002013-09-14T10:35:22.619+10:00Thanks Paul,
That was very informative. I'm r...Thanks Paul,<br />That was very informative. I'm reading an SF novel which frequently mentions Schrodinger's equation which I've heard of but had no idea about. <br />I found your article and began reading and was actually thrilled at how much I understood although I haven't studied any Physics since the first year of my Medical degree. (We do a 6 year medical degree in Australia which is very heavy on chemistry and classical physics etc in the first 2 years).<br />I was so pleased that I went and found my husband and explained it to him! He, being a farmer, looked at me like I have 2 heads and went back to watching the NatGeo channel. Being married to a woman with Asperger's can be difficult!<br /><br />Anyway, thanks again. Your article is very good.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-413286883260441922013-03-11T16:28:31.742+11:002013-03-11T16:28:31.742+11:00Hi rms68
I don't believe you can understand r...Hi rms68<br /><br />I don't believe you can understand relativity until you understand the mathematics, in particular the Lorenz transformation for both space and time.<br /><br />I think Richard Feynman gives the best exposition in <i>Six Not-So-Easy Pieces</i>.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-26749616801916554642013-03-11T15:48:05.341+11:002013-03-11T15:48:05.341+11:00You have to understand concepts and algorithms and...You have to understand concepts and algorithms and aspects of relativity. Bertrand Russell once said on the theory of relativity, that we have to teach the children a different way to think in scientific terms, using language, and creativity.rms68https://www.blogger.com/profile/15377391988139891920noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-78823077007496167902013-03-03T15:48:46.518+11:002013-03-03T15:48:46.518+11:00Hello Henry,
I watched an interview with the auth...Hello Henry,<br /><br />I watched an interview with the author, James Tarantin. I’m sure he’ll make a fortune. Talent doesn’t matter? That’s bullshit.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-35625670888388266402013-03-02T18:07:16.847+11:002013-03-02T18:07:16.847+11:00The Emperor's New Mind is one of the best scie...The Emperor's New Mind is one of the best science books I've read and I think it's Penrose's best book for laypeople. The Road to Reality is much more advanced and I've never read it cover to cover though I've tried.<br /><br /><a href="http://the-equation.com/" rel="nofollow">the-equation-book</a><br />Henry Jordanhttps://www.blogger.com/profile/10159729733302400611noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-67443869556491502072013-02-24T11:21:56.484+11:002013-02-24T11:21:56.484+11:00Hi Syiqin,
You are not alone. Even to understand ...Hi Syiqin,<br /><br />You are not alone. Even to understand my rudimentary exposition, one needs a high school grasp of mathematics and physics.<br /><br />I'm genuinely sorry I couldn't enlighten you.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-79182373698650074892013-02-24T00:45:12.766+11:002013-02-24T00:45:12.766+11:00Respect to all of you mr Paul and sppt...I even ca...Respect to all of you mr Paul and sppt...I even can't understand the meaning of the equation..very sad..Syiqinnoreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-89202757316432568542011-12-24T14:29:04.359+11:002011-12-24T14:29:04.359+11:00Dear Paul,
I have been back to Scrodinger equati...Dear Paul,<br /><br /><br />I have been back to Scrodinger equations.<br /><br />Brian Cox's book explains how complex equations gives the modulus and phase of a wave function, and if you add the complex numbers it's the same as adding the waves, when you have interference.<br /><br />I found an explanation on the use if i in The Emperor's New Mind - Probability Amplitude. I think this book is like a text book in most parts so far i have read (too simplified. To understand them fully you need background math knowledge and experiences which brings some useful and fairly correct conceptual understanding even after having forgotten the formulas and calculations. But some parts show good explanation with his own idea and opinion.<br /><br />My trying to understand Scrodinger equations will continue.<br /><br /><br />Regards,<br />T. Shnodasptthttps://www.blogger.com/profile/15623900933253476798noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-42467906547551350002011-12-21T11:42:41.942+11:002011-12-21T11:42:41.942+11:00Hi T. Shinoda,
I have to confess that I don't...Hi T. Shinoda,<br /><br />I have to confess that I don't properly understand 'Hilbert spaces' either. Ewles mentions them in <i>MATHS 1001</i> in reference to Schrodinger's equation as well, though I don't understand what that connection is.<br /><br /><i>The Emperor's New Mind</i> is one of the best science books I've read and I think it's Penrose's best book for laypeople. <i>The Road to Reality</i> is much more advanced and I've never read it cover to cover though I've tried.<br /><br />I share Penrose's philosophy on mathematical Platonism, and I agree with him that the brain doesn't run on algorithms, but I don't necessarily agree with all of his philosophy. But philosophy is a subject where there is always disagreement somewhere.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-22893596505776288792011-12-18T20:18:55.397+11:002011-12-18T20:18:55.397+11:00Dear Paul,
Sorry, the file should be
http://www...Dear Paul,<br /><br />Sorry, the file should be<br /><br /><br />http://www4.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/psi.html<br /><br />Penrose book<br /><br />The title of the book I have and 1/4 finished is Emperor's New Mind.<br />The book has an independent chapter of Quantum Magic and Quantum Mystery - he seems not 100% believer of Quantum Theory.<br />He mentioned Momentum or more precisely Momentum State in terms of Quantum Theory in the sections titles The Quantum State of A Particle and the succeeding The Uncertainty Principle. He showed the corkscrew (helix or spiral) curve - a similar one I found wiki Plane wave. I do not fully understand his explanation partly because he skipped some additional explanation (which is needed for a layman like me). His corkscrew curve differs from the one in wiki.<br />His curve shows Momentum State while the wiki curve is not Quantum. But I think there are something in common.<br />His explanation on Scrodinger Equations (in the section of Scrodinger Equation and Dirac Equation in only 2 pages) is too short and does did not hep much.<br />Meanwhile his explanation on Hilbert Space is short but good, I think. Hilbert Space (besides Schrodiger's Equations and Fourier's Equations) is another subject I have been trying to understand more. Fortunately these equations are closely or rather deeply co-related.<br /><br /><br />Regards,<br />T. Shinodasptthttps://www.blogger.com/profile/15623900933253476798noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-78690330057183425122011-12-18T15:19:26.933+11:002011-12-18T15:19:26.933+11:00Hi T. Shinoda,
I think the 'file' you'...Hi T. Shinoda,<br /><br />I think the 'file' you've referenced is on someone's hard drive, not the internet.<br /><br />I've recently acquired Brian Cox's book, <a href="http://www.guardian.co.uk/books/2011/nov/16/quantum-universe-cox-forshaw-review" rel="nofollow">The Quantum Universe</a>, which he co-wrote with Jeff Forshaw.<br /><br />He takes a completely different approach based on Richard Feynman's book, <i>QED</i>, but he does explain how complex equations gives the modulus and phase of a wave function, and if you add the complex numbers it's the same as adding the waves, when you have interference.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-36172197447880769692011-12-17T20:53:09.791+11:002011-12-17T20:53:09.791+11:00Dear Paul,
I finally found a very good article f...Dear Paul,<br /><br /><br />I finally found a very good article for a physics/math layman like you and I who however has an interest in Schrodinger Equations and Fourier Transforms (which is another great grout of equations and difficult to get them in shrrt time).<br /><br />Please see<br /><br />file:///C:/Documents%20and%20Settings/asnet/Desktop/psi.html<br /><br /> <br />I am getting tired of his subject but found some relief. Dr Yukawa says "Getting tired of a certain subject is not a bad thing".<br /><br /><br /><br />Regards,<br />T. Shinodasptthttps://www.blogger.com/profile/15623900933253476798noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-19282415130924458312011-12-17T12:01:05.199+11:002011-12-17T12:01:05.199+11:00Hi T. Shinoda,
It's a difficult subject but i...Hi T. Shinoda,<br /><br />It's a difficult subject but it does reveal its secrets to persistent investigation.<br /><br />If you have Penrose's <i>Road to Reality</i>, don't start at the beginning again but read the relevant chapter on Schrodinger's equation (Ch.21) and then go back and read stuff that is cross-referenced in that chapter. I found that was the best way to read it.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-43032242346934763202011-12-16T20:26:36.723+11:002011-12-16T20:26:36.723+11:00Dear Paul,
I think I made a little progress. This...Dear Paul,<br /><br />I think I made a little progress. This is due to my re-try to the wiki explanation (Schrodinger equation). It says<br />- Schrodinger's idea was to express the phase of a plane wave as a complex phase factor - of which I did not understand the meaning but I thought it important as it mentions Schrodinger's idea. I then checked Plane Wave in wiki. It somehow explains why i is used. Rather simple - generalization as real is a part of imaginary planes (numbers). A very big i world in terms of waves is waiting for our visit. I feel I just started biting a tiny part of Schrodinger equations.<br />Penrose in Emperor's Mind used a similar explanation (at least one chart is similar to the one in wiki Plane Wave. I will try this part again as it was difficult to understand it in the first try.<br /><br />Meanwhile I also checked Japanese wiki of Wave Function, which I found intereting. Schrodinger Equation in Japanese wiki is too short and has nothing interesting.<br />Japanese wikis are not translation of the English wikis especially about Physics while Chinese versions are brief translation of the English versions mostly.<br />Accidentally, I found in wiki that some Japanese physics students made a song and dance of Schrodinger equations before. The songs are made of mostly difficult physics jargon used in the equations and quantum physics and may have been used for celebration when students got some understanding of the equations. I like the following part in the song. <br /><br />Waves, waves, waves, everywhere waves in this world.<br /><br />The full version is reported missing.<br /><br /><br />Regards,<br />T. Shinodasptthttps://www.blogger.com/profile/15623900933253476798noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-76688378604079534332011-12-13T17:16:25.788+11:002011-12-13T17:16:25.788+11:00Dear Paul,
Thanks for your prompt reply and furth...Dear Paul,<br /><br />Thanks for your prompt reply and further explanation. I think this is a big issue - momentum operator, momentum space, etc.<br />I am at a beginning stage in learning Schrodinger equation(s). Since his equations seem really great equations explaining our physical world so I think them worth learning. You mentioned several books in your writings. The Penrose book - I have one copy but only 1/4 finished. I will re-start reading again. Speaking of books, my favorite book is Dr Yukawa's "Physics Lecture". This book is not a text book but a written version his 6-hour lecture held in Tokyo in maybe mid-1970. It is rather short so I think I have read it more than 10 times. Each time I read it I learn something new and sometimes found new meanings derived from his original, independent deep insight after my study and thinking. Unfortunately this book only briefly mentions Schrodinger equations. And it seems no English version of this book available - a kind of pity.<br /><br />I will send some comment on Schrodinger equation(s) later after my further study. My understanding at present is that the equations show relations on Energy and frequencies of particle and maybe particles and a bigger matter too so they explain everything.<br /><br /><br />Regards,<br />T. Shinodasptthttps://www.blogger.com/profile/15623900933253476798noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-25836792387125788072011-12-13T14:45:23.696+11:002011-12-13T14:45:23.696+11:00Actually, I wrote that post on 'time' in O...Actually, I wrote that post on 'time' in October.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.com