Resources and guides about Perturbation theory

AI Thread Summary
Resources for learning classic Perturbation Theory are being sought, particularly guides and textbooks that cover both foundational and advanced topics. The focus is on transforming singular problems into regular ones and exploring advanced methods like the two-scale method. A recommended resource is "Perturbation Theory of Dynamical Systems," which has a helpful introductory chapter but may be challenging in later sections. The discussion highlights the difficulty in finding suitable materials that balance basic concepts with advanced techniques. Overall, assistance and recommendations for further study are appreciated.
The-herod
Messages
23
Reaction score
0
Hello,

I have to learn about the classic Perturbation Theory.
I'm looking for guides, textbooks etc about Perturbation Theory. I already know the basis (Poincare method), but I found it hard to find resources for more advanced material on the one hand, that will also teach it from basis on the other. I'm trying to focus now on methods to transform of singular problems to regular problems, and more advanced methods (like the two scale method).

I'll really appreciate any help and so. I'm pretty stuck now...

Thanks a lot!
Gal
 
Physics news on Phys.org
You might have a look at "Perturbation theory of dynamical systems" http://arxiv.org/abs/math/0111178

The first introductory chapter is quite nice, but the other chapters are very mathematical and very frightening :eek: (at least for a hobby-physicist like me, maybe for you they are useful).
 
Great, I'll have a look at this now.

Thanks!:smile:
 

Thread 'The Effect of Linear and Rotational Motion on Measured Weight'

Consider an extremely long and perfectly calibrated scale. A car with a mass of 1000 kg is placed on it, and the scale registers this weight accurately. Now, suppose the car begins to move, reaching very high speeds. Neglecting air resistance and rolling friction, if the car attains, for example, a velocity of 500 km/h, will the scale still indicate a weight corresponding to 1000 kg, or will the measured value decrease as a result of the motion? In a second scenario, imagine a person with a...
View full post »

Thread 'Coulomb gauge implies instantaneous radial electric field?'

Scalar and vector potentials in Coulomb gauge Assume Coulomb gauge so that $$\nabla \cdot \mathbf{A}=0.\tag{1}$$ The scalar potential ##\phi## is described by Poisson's equation $$\nabla^2 \phi = -\frac{\rho}{\varepsilon_0}\tag{2}$$ which has the instantaneous general solution given by $$\phi(\mathbf{r},t)=\frac{1}{4\pi\varepsilon_0}\int \frac{\rho(\mathbf{r}',t)}{|\mathbf{r}-\mathbf{r}'|}d^3r'.\tag{3}$$ In Coulomb gauge the vector potential ##\mathbf{A}## is given by...
View full post »

Thread 'Simple thought experiment with Stefan-Boltzmann law: energy'

Dear all, in an encounter of an infamous claim by Gerlich and Tscheuschner that the Greenhouse effect is inconsistent with the 2nd law of thermodynamics I came to a simple thought experiment which I wanted to share with you to check my understanding and brush up my knowledge. The thought experiment I tried to calculate through is as follows. I have a sphere (1) with radius ##r##, acting like a black body at a temperature of exactly ##T_1 = 500 K##. With Stefan-Boltzmann you can calculate...
View full post »

Similar threads

A Time dependent perturbation theory applied to energy levels
Replies
5
Views
2K
I Classical Field Theory - Something isn't clicking
Replies
12
Views
2K
Atomic Textbook about Perturbation Theory
Replies
2
Views
2K
Study Resources for my Classical Fields Theory exam
Replies
4
Views
2K
I How deep does it need to go for a physics theory to be consistent?
2
Replies
50
Views
3K
I Restrictions of 1st Order Perturbation Theory
Replies
6
Views
1K
I Confused about perturbation theory
Replies
3
Views
1K
Degenerate Perturbation Theory and Matrix elements
Replies
6
Views
4K
A TD perturbation - state initially in continuous part
Replies
49
Views
4K
Searching for a single and complete resource about nuclear fuels
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top