Recent content by pabloenigma
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Graduate Understanding Poisson Brackets in Symplectic Notation
This is just the definition of Poisson brackets in symplectic notation.I don't think it follows from anywhere. I guess,you can explicitly write down the matrices explicitly for one or two independent co-ordinates,write down the matrix J explicitly(as defined in your textbook),and we will see the...- pabloenigma
- Post #2
- Forum: Beyond the Standard Models
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Graduate Helmholtz free energy related query.
Yes.The Maxwell derivatives don't have anything to do with minimum energy or maximum entropy principle.Also,do realize that this section of the text doesn't want to say anything about maxwell derivatives or them being equal. It tries to explain that " The energy minimum principle with entropy...- pabloenigma
- Post #19
- Forum: Thermodynamics
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Graduate Helmholtz free energy related query.
All said and done,you should really try to have a look at the book.Its probably available at every university Library.You will love it http://en.wikipedia.org/wiki/Herbert_Callen I insist,because, I think, in the above discussion I haven't really done justice to this book. In my country, a...- pabloenigma
- Post #14
- Forum: Thermodynamics
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Graduate Helmholtz free energy related query.
My bad.I apologize.I think I screwed up. But P1=P2 is a result of energy conservation for isolated system,so that holds.The entropy maximum formalism encompasses that,since dU1=-dU2 is part of constraint imposed by isolation of the system. You can say that the entropy maximizing yields nothing...- pabloenigma
- Post #12
- Forum: Thermodynamics
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Graduate Helmholtz free energy related query.
Well its very cheap in India.Indian edition costs about 300 bucks in Indian currency,which will be about 6 dollars,hahha It is downright silly to debate the authenticity or correctness of HB Callen.Obviously Volume is constant.I didnt make a good job of expounding what Callen says.I didnt...- pabloenigma
- Post #9
- Forum: Thermodynamics
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Graduate Helmholtz free energy related query.
Actually,in the second process,volume is not constant,its expanding slowly,so you can't use that derivative.And trust me,this has got nothing to do with Maxwells relations.Also,this paragraph tries to explain the logical consistency of the fundamental postulates of theory.Its not right to try to...- pabloenigma
- Post #8
- Forum: Thermodynamics
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High School What is the Lowest Possible Temperature?
Or,more humbly,thats like what we have cooked our Centigrade system to be.It looks more natural in the more fundamental Kelvin scale,isnt it? Infact,you will find,Kelvin had remarked,a logarithmic scale would have been better,with temperatures running from minus infinity to plus...- pabloenigma
- Post #8
- Forum: Thermodynamics
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Undergrad Harmonic Plane Wave: Form & Explanation
More simply, any function that represents a traveling wave is a function of r.s-vt,ie f(r.s-vt)(r and s are vectors ofcourse). If a harmonic function travels as a wave,then the nature of the function is harmonic,ie sine or cosine.- pabloenigma
- Post #3
- Forum: Classical Physics
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Graduate Helmholtz free energy related query.
The text you are referring to is the ultimate book of thermodynamics,in my opinion,and also the most frequently cited source in research literature. However,I don't really get where you bring in the Helmoltz function.The author says,that minimizing the energy holding the entropy constant gets...- pabloenigma
- Post #4
- Forum: Thermodynamics
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Undergrad Quick P. Energy Derivation Question
As such,there is no explanation,its about definition. The important thing is,for conservative forces,you can define a potential.Even if you had define dV=Fdr,you would have a consistent theory.The fact that dV=-Fdr,and not Fdr,is not logic,its convention. In essence,it means that,when positive...- pabloenigma
- Post #2
- Forum: Mechanics
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Undergrad Voltage problems & Kirchhoff's rules
Im sure,and confident,that all closed loop circuits you solved using Q=CV, or any other formula in the word, The sum total of potential changes were ALWAYS Zero.Please post such an example,and people will be happy to clarify- pabloenigma
- Post #2
- Forum: Electromagnetism
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Undergrad Basic Statics - A weird outcome. Contradictory?
Obviously.In every decent book I read, they clearly state that Fstatic≤μstaticN and NOT Fstatic=μstaticN That is,the friction force adjusts itself to keep the concerned body in equilibrium.And the maximum it can be in order to negate the applied forces is given by μstatic...- pabloenigma
- Post #5
- Forum: Mechanics
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Graduate Uncertainty principle in classical optics
I don't know what you mean by limited range.But it does definitely mean that Light is emitted in form of discrete pulses,and that's the reason that purely monochromatic sources are an idealization.This finiteness of the pulses give rise to what is known as the spectral spread about the mean...- pabloenigma
- Post #2
- Forum: Optics
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Finding an electric field on a disk using surface charge density
Break up the disk into elementary rings and integrate.- pabloenigma
- Post #2
- Forum: Introductory Physics Homework Help
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Undergrad Linear Impulse & Momentum - Distinguishing Impulsive & Non-Impulsive Forces
And Momentum is conserved only when there are no external forces acting on the system. ∫Fdt gives the change in momentum for both impulsive and non-impulsive forces,so what is the problem?- pabloenigma
- Post #3
- Forum: Mechanics