User talk:HydrogenSu

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1 about Wilson-Sommerfeld's Quatization
2 Keep Blank
3 Tensors? Or other ones?
4 Vas-y!!! Vas-y!!! Vas-y!!!
5 Hyperbolic function
6 Math in Physics About The Substantive Derivative
7 Two way "calculating" velocities?
8 Control Volume (to be waited editing)
9 a L.T. question
10 Rayleigh-Jeans their Blackbody theory
11 **Modern Physics: Radiation of Blackbody
12 for testtt
13 ODE
14 Image copyright problem with Image:Shaft.gif
15 Modern Physics:Debye's Model of Cv
16 Laplace transform calculation (暫存文件)
17 NTU contact
18 Please...
19 Some thoughts
20 which one is first?
21 Misunderstanding
22 Image copyright problem with Image:Deriviatons001.jpg
23 The Cleaned Up
24 Please do NOT alter people's comments
25 Adding comments
26 Image Tagging for Image:Physical_machanics.jpg
27 Image copyright problem with Image:Modern_physicsa.jpg
28 Image:Modern physicsa002.jpg listed for deletion
29 Image copyright problem with Image:Modern_physicsa001.jpg
30 Image copyright problem with Image:Modern_physicsa003.jpg
31 Image copyright problem with Image:Derive_to_modern_physics.jpg
32 Image copyright problem with Image:Early_writting_in_modern_physics.jpg
33 Image:Modern physicsa001.jpg listed for deletion
34 Image:Modern physicsa.jpg listed for deletion
35 Image copyright problem with Image:Physics for reading.jpg
36 Image Tagging Image:Modern physics001.jpg
37 Image copyright problem with Image:Modern physics001.jpg
38 Message from HappyApple

[edit] about Wilson-Sommerfeld's Quatization

NOTA:For I'm convinient to read at short time,do the following articles for myself.

I've read Modern Physics about Wilson-Sommerfeld's Quatumzation Theory. I don't understand:

1.Why did they consider that $\oint{Pdx}$ ?

Because it is the action (physics)

2.By 1.,I think that was just correct with some limit of

Uncertainty Principle if P represents(ed) "Poition". I said

right? Or it obeyed U.P.?

No, P is the momentum.

Thanks for correction. Previously I wanted to show was that P stands for "Period",not for "Positon". Actually I know it stands for momentum.--HydrogenSu 11:34, 27 January 2006 (UTC)

3.Why does $\oint{Pdx}=nh$ ? Then we by this to solve A

(amplitude)? And however,by what theory? See please

Image:Modern physics.jpg

That snapshot of the whiteboard shows that P is the momentum. You may also choose to think of the action as if it were the total angular momentum; the Bohr-Sommerfeld quantization condition states that the total angular momentum is quantized. The theory is thier own: they invented it in order to try to explain atomic spectra. linas 22:00, 26 January 2006 (UTC)

--HydrogenSu 10:31, 25 January 2006 (UTC)

Hi SU:

The use of the action variable was useful in classical physics long before Wilson (1915) and Sommerfeld (1916) used it to extend Bohr's theory of the hydrogen atom.

Some terms the integral of p with respect to q is called the phase integral and its value, usually denoted by J, is called the action variable. The integral is taken over one period. (q is a generalized coordinate and p is the conjugate momentum.)

So the question, of course, is what does it mean. The best way to see this is to form the partial derivative of J with respect to E the energy. This produces the period.

When you have something moving in a plane it will be described by two vasriables. These two may be periodic. If the periods are commensurate the path of the object will be closed and periodic. If the individual periods are not commensurate the path need not close. An example is a Lissajous figure. The action variable is used to derive frequency information for the system.

I hope this breif reply helps.

DR_Rocket

[edit] Keep Blank

[edit] Tensors? Or other ones?

Retrieved from:[1]

[edit] Vas-y!!! Vas-y!!! Vas-y!!!

Qelques webes d'usages pour mon étudié au français: aller[2] être[3] avoir[4]

Vas-y!!! Vas-y!!! Vas-y!!!

[edit] Hyperbolic function

Hyperbolic functionwhen using it frequency, click it.

[edit] Math in Physics About The Substantive Derivative

         About The Substantive Derivative

We might get some simple derives by the folowings.

In a box(being analysed) is forced by fluids, ${\mathbf P}$ represents pressure,set ${\mathbf P=P(x,y,z,t)}$ (Note:Pressure can be easily to image.) First we make total differential

$dP=\frac{\partial{P}}{\partial{t}}dt+\frac{\partial{P}}{\partial{x}}dx+\frac{\partial{P}}{\partial{y}}dy+\frac{\partial{P}}{\partial{z}}dz$

The rate of pressure change is

$\frac{dP}{dt}=\frac{\partial{P}}{\partial{t}}+\frac{\partial{P}}{\partial{x}}\frac{dx}{dt}+\frac{\partial{P}}{\partial{y}}\frac{dy}{dt}+\frac{\partial{P}}{\partial{z}}\frac{dz}{dt}$

Hence,

$\frac{dP}{dt}=\frac{\partial{P}}{\partial{t}}+{\mid}V_{x}{\mid}\frac{\partial{P}}{\partial{x}}+{\mid}V_{y}{\mid}\frac{\partial{P}}{\partial{y}}+{\mid}V_{z}{\mid}\frac{\partial{P}}{\partial{z}}$

$\frac{D}{Dt}=\frac{\partial}{\partial t}+{\mathbf V}\cdot\nabla$

therefore,

$\frac{dP}{dt}=\frac{\partial{P}}{\partial{t}}+{\mid}V_{x}{\mid}\frac{\partial{P}}{\partial{x}}+{\mid}V_{y}{\mid}\frac{\partial{P}}{\partial{y}}+{\mid}V_{z}{\mid}\frac{\partial{P}}{\partial{z}}=\frac{DP}{Dt}$

where ${\mathbf V}$ is the fluid velocity, ${\mathbf V_{(x,y,z)}}$ is the fluid speed, and $\nabla$ is the differential operator del.

--HydrogenSu 15:42, 23 December 2005 (UTC)

Reference:James R. Welty,Charles E. Wicks,Robert E. Wilson,Gregory Rorrer Foundamentals of Momentum,Heat,and Mass Transfer ISBN 0-471-38149-7

[edit] Two way "calculating" velocities?

Deleted the all

[edit] Control Volume (to be waited editing)

http://en.wikipedia.org/wiki/Control_Volume --HydrogenSu 12:49, 25 December 2005 (UTC)

[edit] a L.T. question

Could anyone tell me why do

$\mathcal{L}\left\{ { df \over dt } \right\} = s \int_{0^-}^{+\infty} e^{-st} f(t)\,dt - f(0) = s \cdot \mathcal{L} \{ f(t) \} - f(0)$

and

$\mathcal{L}\left\{ {lnt} \right\}=-\frac{{\gamma}+lns}{s}$ ?

thanks...

the page of that simplied too much ,i need a lot of noting help to the result...

About Laplace Inverse[5]

Here's my important solution for proving the LP's Scaling Theorem.

[6]

[edit] Rayleigh-Jeans their Blackbody theory

       Rayleigh-Jeans their Blackbody theory

I've derived Rayleigh-Jeans their theory about Blackbody on part1[7]and part2[8]. Please help to check for me.Thanks.--HydrogenSu 11:29, 7 February 2006 (UTC)

       Debye's Capacity Theory

I derived Debye's Capacity theory. Please see on (part 1) [9] and on (part 2)[10] .The final part , part 3, which will be uploaded tomorrow. It’s now dark-night in Asia. Not convinience.Sorry.

Anyway saying thanks first for any correction if my deriviation is wrong.--HydrogenSu 19:41, 7 February 2006 (UTC)

[edit] **Modern Physics: Radiation of Blackbody

Q:Please derive all of Rayleigh-Jeans’s Black Body Radiation Theory. And tell out why they failed.

My solution is as the followings:

In a cavity,there exists some EM-waves to travel all-in it.

(1)EM-waves' frequency $\nu \rightarrow \nu+d\nu$ ,

With $N(\nu)d\nu=\frac{8{\pi}V\nu^{2}d\nu}{c^3}....................(1)$

which gives that the more frequency(as $\mathcal \nu$ ),the more State-Numbers(as N). In the formula, $\mathcal V$ is as Volume.

Considering one dimensional standing-wave $\Longrightarrow \sqrt{n_x^2+n_y^2+n_z^2}=\frac{2a}{\lambda}=\frac{2a\nu}{c}$

It can be set $\mathcal, r ,$ be a $\frac{1}{8}$ shell's radius.

Because EM-waves have 2 modes,

$\mathcal ,N(r)dr=2N'(r)dr=2 \cdot {1 \over 8} \cdot 4{\pi}{r^{2}}dr,$

Where $\mathcal, r ,$ is a state-number which keeps a constant : $r=\sqrt{n_x^2+n_y^2+n_z^2}$

And $\mathcal, n_x, n_y, n_z,$ can have different combinations to each other.( $\mathcal, 4\pi r^{2} dr,$ is for a shell volume of whole-circle speed.)

By $2 \times \frac{1}{8} \times 4 {\pi}r^2dr$ , gives $\mathcal \pi r^{2} dr$

(2)With "Energy continued distrubution of S.H.O." and with Boltzmann speed distribution, so energy released by a vibrating frequency $\mathcal \nu$ on atoms $\bar{\epsilon}(\nu)=\epsilon(\nu)=kT$

By the difinition of energy density:

$\rho(\nu)d\nu=\frac{u(\nu)d\nu}{V}$

Total energy is that average energy multiplies state-numbers

$\frac{\bar{\epsilon}(\nu) \cdot N(\nu)d\nu}{V}=\frac{N(\nu) \cdot kTd\nu}{V}....................(2)$

(3)In a cavity, the energy density of $\nu \rightarrow \nu+d\nu$

With $\mathcal (1)and(2)\Longrightarrow \rho(\nu)d\nu=\frac{8\pi \nu^2}{c^3}kTd\nu$ . Which we can ignore $\mathcal, d{\nu},$ both sides of it.

Obviously, as $\nu \rightarrow \infty$ then the energy becomes $\infty$ ,any blackbody are broken, it is impossible! (Tragedy of UV-light) So their theory was wrong when higher frequencies.--HydrogenSu 17:07, 4 February 2006 (UTC)

[edit] for testtt

(Plank)modern physics for reading[11]

[12][13] [14]

[15]

It seems being a paradox. For

$\mathcal {\mid}\Psi(x,t){\mid}^2=A^2sin^{2}(kx)*cos^{2}({\omega}t)=0 {\neq}1$

which means that it does not equal to 1. Thus caused not coresponse Normalization. Known a standing wave is expressed as

$\mathcal, \Psi(x,t)=Asin(kx)*cos({\omega}t),$ .

Can anyone talk about your thoughts? Thanks.

One more question that what's difference between phase velocity and group velocity? My opinions and thoughts:

By their math expression we can clearly find angular frequency of $\mathcal V_p ,$ $\mathcal \omega$ which keeps constant when a wave vibrates up and down localized. That may because of energy transports into a wave is conservative,just like a particel moves up and down in a Y axis,localizedly(which keeps energy conservative).

But for another one,it travels in an X axis,that hints its phase-angular is the function of time. By time changes,then $\mathcal \omega$ naturely changes either.

I'm a little not sure above. Could anyone discuss with me? For the reason of I rarely coming here,so email me: as any new reply about this question appears.

[16]

Theoretical physics

[17]

My Recent Tourist Daily

I feel the Chinese new year holidays this year,“Great”is the only adjective to strongly adjecte it. People are allover the streets,and cars are either. Such crowded but something interesting. Especailly near the streets both sides of Lover River. I met some Eastern Europeans. You forengers can go to Kaohsiung for tourist. Fun and will have a better holidays.

[edit] ODE

Not sure if your watching the page but your question on Talk:Ordinary differential equation is a little ambuous and we are trying to work out the appropriate formula. --Salix alba (talk) 12:50, 27 January 2006 (UTC)

I've already replied on it,please back to see.--HydrogenSu 13:11, 27 January 2006 (UTC)

Please don't write

$y'+[cos(x)]*y=\frac{1}{2}sin(2x).$

Instead, write

$y'+[\cos(x)]\cdot y=\frac{1}{2}\sin(2x).$

This not only de-italicizes "sin" and "cos" but also causes standard spacing conventions to be observed. Also, note that I did not use an asterisk to represent multiplication.

[edit] Image copyright problem with Image:Shaft.gif

Thanks for uploading Image:Shaft.gif. However, the image may soon be deleted unless we can determine the copyright holder and copyright status. The Wikimedia Foundation is very careful about the images included in Wikipedia because of copyright law (see Wikipedia's Copyright policy).

The copyright holder is usually the creator, the creator's employer, or the last person who was transferred ownership rights. Copyright information on images on Wikipedia is signified using copyright templates. The three basic license types on Wikipedia are open content, public domain, and fair use. Find the appropriate template in Wikipedia:Image copyright tags and place it on the image page like this: {{TemplateName}}.

Please signify the copyright information on any other images you have uploaded or will upload. Remember that images without this important information can be deleted by an administrator. You can get help on image copyright tagging from Wikipedia talk:Image copyright tags. -- Carnildo 09:00, 2 February 2006 (UTC)

Alright. I have tried deleting it,but in vain. Could you help me to delete it? Thank you.--HydrogenSu 17:43, 2 February 2006 (UTC)

[edit] Modern Physics:Debye's Model of Cv

To visitors: On[18] I have proposed some individual opinions on it. Welcome to see it.

--HydrogenSu 20:21, 3 February 2006 (UTC)

[edit] Laplace transform calculation (暫存文件)

I have a question on[19] Anyone please help me.

(On which,why do for-all $\mathcal ,isinx=odd,$ ,therefore they all equal to 0?)

--HydrogenSu 12:16, 4 February 2006 (UTC)

your question seems to be unclear. I think perhaps you want to ask why

$\int^\infty_{-\infty} e^{-2at}i\sin \omega t\,dt$

equals 0. I think the explanation is supposed to go like this: a function f is odd if for all x, f(x)=f(–x). Odd functions satisfy

$\int^a_{-a}f(x)\,dx=0,$

since the positive area on one side of the y-axis cancels out with the negative area on the other side. With some care, this result can be extended to improper integrals. For even functions, you can't cancel out the area, but you can say that the total area from –∞ to +∞ is twice the area from 0 to +∞. This is used in the subsequent step, and accounts for the 2 in front of the cosine.

The sine function is indeed an odd function, and the cosine function is indeed even. However, the integrand above is not the sine function, but rather the product of a sine and an exponential. As far as I can see, the integrand is not odd, and therefore this step of the calculation is an error. Nor is the 2 in front of the cosine correct.

This calculation seems to be proceding with a Fourier transform, which isn't really appropriate for doing a Laplace transform.

What I would suggest instead would be to start with the identity

$\sin at = \frac{e^{iat}-e^{-iat}}{2i}$

then square it, and integrate the resulting exponentials. -lethe ^{talk +} 13:10, 4 February 2006 (UTC)

After trying it myself, I think that the above suggestion isn't so great, and you'd be better served with the identity

$\sin^2 x = \frac{1-\cos 2x}{2}$

-lethe ^{talk +} 14:10, 4 February 2006 (UTC)

[edit] NTU contact

Hola as we say where i came from (not to mention is spanish). Welcome from a fellow chemist i invite you to join our growing community of wikichemists at WikiProject chemistry on Wikipedia:WikiProject Chemistry, feel free to add yourself at the project by clicking on edit this page at the top of the page. By the way thank you for you appropiate and quickly answer to my question at the NTU discussion page. I have been working on Electrochemistry article receintly i advice you to take a look at it, if you might be interested... and, Kung hei fat choi for you, (never is too late to send good wishes for the new year i guess.), Cheers :) . HappyApple 14:36, 7 February 2006 (UTC)

Thank you. But I have been preparing examinations for a physics institute next year,very buzy. I am considering what you said.--HydrogenSu 20:42, 7 February 2006 (UTC)

I hope you will be adding some article content to Wikipedia too, while you're at it :-) --HappyCamper 13:01, 10 February 2006 (UTC)

Last year,I added an article on [20],and recently might add some article(s) about Laplace Transform or on another site(s) at Wiki.--HydrogenSu 11:36, 14 February 2006 (UTC)

To HappyApple,

Your invition of ElectroChemistry is a interesting filed. Honestly I was a bit good at it when I was year 2 in my university (I major in Chemistry Engineering). I might do its edits after passing my exams in 1.5 yeas. :)--HydrogenSu 11:45, 14 February 2006 (UTC)

Wauu... so great, i hope you can do it as you say. :) , feel free to make edits on the article as you feel some subjects on it requires better attention, by the way have good luck in your Physics test, best regards. HappyApple 20:55, 15 February 2006 (UTC)

[edit] Please...

May I make a request? Please stop posting on the reference desk with comments such as these - it is amounting to a bit of disruption. --HappyCamper 13:21, 10 February 2006 (UTC)

His talk page is at User talk:BluePlatypus. --HappyCamper 13:22, 10 February 2006 (UTC)

[edit] Some thoughts

Your past 200+ edits to Wikipedia are nearly exclusive to the reference desk, and when I look a bit further into your contributions, most of your contributions are for soliciting ideas, and do not seem to indicate that you have a desire to contribute much to the main article namespace. Of your 742 edits, only 34 are actually to articles - the rest of them are discussion posts.

Your recent contributions to the reference desk have flooded it with your questions - we all love helping out with questions, but I think you have to be a bit more mindful that there are others who use the reference desk - we are all sharing the same space, and sometimes we need to make room for others. This might mean posting questions in a more concise way, or following up by staying on topic - as opposed to introducing other irrelevant ideas and shouting other editors down.

I know some of BluePlatypus' comments came across as a bit harsh, which prompted you to respond in the way you did - sometimes, we just need to refrain from doing that, or relegating it to somewhere else. It isn't necessary to broadcast your dissatisfaction to everyone - when you do this, it is easily misinterpreted as attention seeking or even trolling behaviour - behaviours which do not reflect accurately of you, nor positively of you. I'm sure you would be a wonderful person to meet and talk to, but today I was a bit disappointed to see that the better side of you did not shine through as much.

Now, I think what happened today was that BluePlatypus was trying to encourage some insight for you by suggesting a different approach to calculate your integrals. Perhaps it was a bit offensive to you when he suggested that you needed to go back to the basics. Yes, perhaps it could have, and should have been worded differently. Even though it might have sounded harsh to you, I don't think BluePlatypus actually intended his/her comments to be deliberately malicious - so for this reason, may I ask that you set the issue aside and move on? There are better things to do, like conveying the elegance of the physics that is in those equations. The integrals are part of a rich family of related equations, and they are very well established in the literature. If you have time after your exams, it will be very worthwhile to look these up.

If you have other questions you want to post on the reference desk, please feel free to do so - but I also hope that you can integrate some of my suggestions here as well. It would make your experience on Wikipedia much more enjoyable, and it would also make all the volunteers who help you feel good knowing that they were able to assist you in your aspirations to become a physicst. I hope this helps, and if anything I hope it makes you feel better :-) --HappyCamper 18:51, 10 February 2006 (UTC)

Thanks for your thoughts. I'm tired and the same time see your messege then get in. Maybe I made a lot of mistakes. It's now dark-night in Taiwan. Something's out of my brain. I just now read about your posts above. Some English vocabulary I don't understand. But I guess what you expressed was that I posted too much a day and made some issues with others or I typed too much Chinese....?

I'm going to sleep....Sorry--HydrogenSu 19:07, 10 February 2006 (UTC)

Much better on reading English words. I'll move on the issue articles.--HydrogenSu 19:17, 10 February 2006 (UTC)

Yes, go to sleep :-)

Well, I typed all that because I'm not sure what was the best way to approach you, but you do seem to be a reasonable person. Well, what I had an issue with was just how you responded to everything. I felt that we stopped listening to each other when we started talking about politics and God. Those are important too, but it was also making it difficult to be approachable and to answer the questions which you were really interested in. I think everyone became a bit hurt and defensive - me included.

By the way, a significant number of editors on Wikipedia have PhDs in physics, so it is nice to see some questions from our earlier years show up once in a while. You do have quite a bit of enthusiasm for science and physics!

In short:

Keep the questions on topic - we do like to help
Be nice. Sometimes if we get a response that doesn't seem helpful, just wait - another person will come by and give a better one soon.
Chinese is wonderful :-)

That is all. See you around! --HappyCamper 19:22, 10 February 2006 (UTC)

P.S. By the way, in English, it is very rare to see the word "vocabularies" - in fact, I have never seen it myself. This is because the word "vocabulary" is both singular and plural. Your sentence was right the first time around. :-) --HappyCamper 19:22, 10 February 2006 (UTC)

[edit] which one is first?

does it involve:Bondary Condituons?? If Yes,Why???--HydrogenSu 19:35, 17 February 2006 (UTC)

for the in a box problem, Starts from

$-\frac{\hbar^2}{2 m} \frac{d^2 \psi}{d x^2} + V(x) \psi = E \psi \quad (1)$

,why do we solve

$\mathcal\,Asin{\theta}\,$ first ,

then do

$\mathcal\,Bcos\theta\,$ ?--HydrogenSu 19:33, 17 February 2006 (UTC)

[edit] Misunderstanding

I do apologize for criticizing your English and embarrassing you. I thought your first comment was inappropriate. I thought you meant something like "This problem is so easy, any Chinese junior high school student could do it." I probably misinterpreted you. But my next comment was even more inappropriate and I should not have made it, so I apologize. No hard feelings? —Keenan Pepper 22:57, 12 February 2006 (UTC)

BTW, "I'm sorry" can mean two different things, regret, or sympathy. Sympathy is when you feel bad for something that happened to someone else, but it's not your fault. Regret is when you feel bad for something you've done and wish you hadn't done it. Google says "sympathy" is 同情 and "regret" is 遗憾. Does those sound right to you? How do you pronounce them? —Keenan Pepper 23:03, 12 February 2006 (UTC)

It's ok. Much better. I also did wrong very much. I do apologize too to you. I'll delete some motioned words in that math question. I get tired and to sleep.--HydrogenSu 23:33, 12 February 2006 (UTC)

[edit] Image copyright problem with Image:Deriviatons001.jpg

Thanks for uploading Image:Deriviatons001.jpg. However, the image may soon be deleted unless we can determine the copyright holder and copyright status. The Wikimedia Foundation is very careful about the images included in Wikipedia because of copyright law (see Wikipedia's Copyright policy).

The copyright holder is usually the creator, the creator's employer, or the last person who was transferred ownership rights. Copyright information on images is signified using copyright templates. The three basic license types on Wikipedia are open content, public domain, and fair use. Find the appropriate template in Wikipedia:Image copyright tags and place it on the image page like this: {{TemplateName}}.

Please signify the copyright information on any other images you have uploaded or will upload. Remember that images without this important information can be deleted by an administrator. If you have any questions, feel free to contact me or ask for help at Wikipedia talk:Image copyright tags. Thank you. -- Carnildo 13:05, 14 February 2006 (UTC)

[edit] The Cleaned Up

' Infinite Sums' These will solve Topic:Infinite Sums.

您的問題的確需要"技巧(tech.)"來說明.請不妨把兩邊都平方,做此後,你將發現(9-6)恆等於3:

$(\sqrt{6+\sqrt{6+\sqrt{6+...}}})^2 = 3^2$