Modification of Effective Range Theory in the Presence of a Long Range 1r4 P
Modification of Effective Range Theory in the Presence of a Long Range 1r4 P
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In our eReader you can find the full English version of the book. Read Modification of Effective Range Theory in the Presence of a Long Range 1r4 P 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 Modification of Effective Range Theory in the Presence of a Long Range 1r4 P
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) B. Conditions for existence of r o If A(L) does not exist, the question of the existence of r (L) as defined by Eq. (1. 2) does not arise. If A(L) does exist, we must still examine the conditions under vhich r (L) will also exist. We will restrict ourselves to the o^ ' case L = and to n S ^. (it should not be very difficult to do the same for L > 0. ) To analyze the existence conditions, it will be useful to very briefly review effective range theoi'y for short range potentials. Of the deriva...tions 1 2 of the theory that have been given ', that of Bethe will be most convenient for our present purposes .
Since we are concerned with L = 0, our boundary conditions, Eq. (2. 2) and {2. X), become u(0) = 0, u(r) ^ cot Ti(0) sin kr + cos kr (2. 2)' u (0) = 0, u (r) - 1 - r/A. (2.^)' o^ o We also introduce the solutions of the free Schroedinger equation, with wave numbers k and 0, to be denoted by v(r) and v (r), respectively, with normaliza- tions chosen so that they asymptotically approach u(r) and u (r), respectively.
What to read after Modification of Effective Range Theory in the Presence of a Long Range 1r4 P?
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To quickly assess the difficulty of the text, read a short excerpt:
) B. Conditions for existence of r o If A(L) does not exist, the question of the existence of r (L) as defined by Eq. (1. 2) does not arise. If A(L) does exist, we must still examine the conditions under vhich r (L) will also exist. We will restrict ourselves to the o^ ' case L = and to n S ^. (it should not be very difficult to do the same for L > 0. ) To analyze the existence conditions, it will be useful to very briefly review effective range theoi'y for short range potentials. Of the deriva...tions 1 2 of the theory that have been given ', that of Bethe will be most convenient for our present purposes .
Since we are concerned with L = 0, our boundary conditions, Eq. (2. 2) and {2. X), become u(0) = 0, u(r) ^ cot Ti(0) sin kr + cos kr (2. 2)' u (0) = 0, u (r) - 1 - r/A. (2.^)' o^ o We also introduce the solutions of the free Schroedinger equation, with wave numbers k and 0, to be denoted by v(r) and v (r), respectively, with normaliza- tions chosen so that they asymptotically approach u(r) and u (r), respectively.
What to read after Modification of Effective Range Theory in the Presence of a Long Range 1r4 P?
You can find similar books in the "Read Also" column, or choose other free books by T F Omalley to read onlineMoreLess
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