Remarks On Alfvens Perturbation Method
Remarks On Alfvens Perturbation Method
The book Remarks On Alfvens Perturbation Method was written by author Here you can read free online of Remarks On Alfvens Perturbation Method book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Remarks On Alfvens Perturbation Method a good or bad book?
Where can I read Remarks On Alfvens Perturbation Method for free?
In our eReader you can find the full English version of the book. Read Remarks On Alfvens Perturbation Method Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Remarks On Alfvens Perturbation Method
In our eReader you can find the full English version of the book. Read Remarks On Alfvens Perturbation Method Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Remarks On Alfvens Perturbation Method
What reading level is Remarks On Alfvens Perturbation Method book?
To quickly assess the difficulty of the text, read a short excerpt:
3), the magnetic moment of the 'equivalent dipole' is a function of R. We would therefore expect p, (R) to give a contribution to (3. U) when R is varied. In actuality, however, this is not the case: p. May be treated as a constant in (3. U) if the variations of R are siifficiently slow. We shall now carry out the reasoning that leads to this conclusion.
- 7 - We first consider a homogeneous field along the z-axLs, ajid we intro- duce the cylindrical coordinates (p, ©, z). The z-coraponent of (...canonical) angular moraenttan, P_, is constant. That is, (U. L) Pq -= mp2© + i Agp ■ mp 6 + s— Hp = const. But, from (2, 9), mc Therefore, (U. 2) p^ » - 2|!. JI . - I^ ^, - const.
The action variable associated with the coordinate 9 is 2n >o (U. 3) Jq - Pe '^^ " 2" ^« = -^2n, .
For a homogeneous field, therefore, the magnetic moment of the equivalent dipole is a constant of the motion and is an action variable. It follows from the adiabatic theorem that it is also an adiabatic invariant, that is, the magnetic moment is unaffected by all changes that are 'adiabatically slow* compared with the period of the motion corresponding to an homogeneous field.
What to read after Remarks On Alfvens Perturbation Method?
You can find similar books in the "Read Also" column, or choose other free books by Owen Fleischman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
3), the magnetic moment of the 'equivalent dipole' is a function of R. We would therefore expect p, (R) to give a contribution to (3. U) when R is varied. In actuality, however, this is not the case: p. May be treated as a constant in (3. U) if the variations of R are siifficiently slow. We shall now carry out the reasoning that leads to this conclusion.
- 7 - We first consider a homogeneous field along the z-axLs, ajid we intro- duce the cylindrical coordinates (p, ©, z). The z-coraponent of (...canonical) angular moraenttan, P_, is constant. That is, (U. L) Pq -= mp2© + i Agp ■ mp 6 + s— Hp = const. But, from (2, 9), mc Therefore, (U. 2) p^ » - 2|!. JI . - I^ ^, - const.
The action variable associated with the coordinate 9 is 2n >o (U. 3) Jq - Pe '^^ " 2" ^« = -^2n, .
For a homogeneous field, therefore, the magnetic moment of the equivalent dipole is a constant of the motion and is an action variable. It follows from the adiabatic theorem that it is also an adiabatic invariant, that is, the magnetic moment is unaffected by all changes that are 'adiabatically slow* compared with the period of the motion corresponding to an homogeneous field.
What to read after Remarks On Alfvens Perturbation Method?
You can find similar books in the "Read Also" column, or choose other free books by Owen Fleischman to read onlineMoreLess
Read book Remarks On Alfvens Perturbation Method for free
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
Write Review:
Guest
Read Also
7 / 10
8 / 10
User Reviews: