Derivation of the Bohr Sommerfeld Quantum Conditions From An Asymptotic Solution
Derivation of the Bohr Sommerfeld Quantum Conditions From An Asymptotic Solution
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In our eReader you can find the full English version of the book. Read Derivation of the Bohr Sommerfeld Quantum Conditions From An Asymptotic Solution 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 Derivation of the Bohr Sommerfeld Quantum Conditions From An Asymptotic Solution
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T, ii) denotes the difference between any two values of S, pt q, t, and n is an integer. Equation (15) may be celled the K r ■ quantum condition'.
- 8 - If \}/ denotes a steady state of energy E, then S, is £iven by (12) and V = \ i^ given by (1^). The difference/^ S (q . T^ti) is then given by a line integral over some closed curve starting end ending at a, and (15) becomes (16) / Y2 vs- = ^ ^ • r In fact (l6) must hold for every closed curve in the a sppce since only then will exp(iii'* S, ) ...pnd thus \|; be single-valued at every point. Equation (16) is exsctly the quantum condition postulated by Einstein, Einstein also pointed out that since p = SSj/Sq^i the line integral in (16) hss the same value for ?11 curves which can be deformed into each other without crossing a singularity of the integrand. For example, the integral is zero for a curve which can be deformed into a. [ point. There are usually a finite number of classes of independent curves which cannot be deformed into a point.
What to read after Derivation of the Bohr Sommerfeld Quantum Conditions From An Asymptotic Solution?
You can find similar books in the "Read Also" column, or choose other free books by Joseph B Keller to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
T, ii) denotes the difference between any two values of S, pt q, t, and n is an integer. Equation (15) may be celled the K r ■ quantum condition'.
- 8 - If \}/ denotes a steady state of energy E, then S, is £iven by (12) and V = \ i^ given by (1^). The difference/^ S (q . T^ti) is then given by a line integral over some closed curve starting end ending at a, and (15) becomes (16) / Y2 vs- = ^ ^ • r In fact (l6) must hold for every closed curve in the a sppce since only then will exp(iii'* S, ) ...pnd thus \|; be single-valued at every point. Equation (16) is exsctly the quantum condition postulated by Einstein, Einstein also pointed out that since p = SSj/Sq^i the line integral in (16) hss the same value for ?11 curves which can be deformed into each other without crossing a singularity of the integrand. For example, the integral is zero for a curve which can be deformed into a. [ point. There are usually a finite number of classes of independent curves which cannot be deformed into a point.
What to read after Derivation of the Bohr Sommerfeld Quantum Conditions From An Asymptotic Solution?
You can find similar books in the "Read Also" column, or choose other free books by Joseph B Keller to read onlineMoreLess
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