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Titlebook: Symposia on Theoretical Physics and Mathematics; Lectures presented a Alladi Ramakrishnan (Director of the Institute) Book 1968 Springer Sc

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Non-Lagrange Theories and Generalized Conservation Laws,rangians and the other a non-Lagrangian theory without Lagragians. The former theories do not make use of a Lagrangian explicitly, although the existence of a Lagrangian is assumed. The latter on the other hand do not even assume the existence of a Lagrangian. In the physics of high-energy particles
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Cosmic X-Rays, ,-Rays, and Electrons, demonstrated that this was incorrect and that, cosmic rays consist almost exclusively of protons and heavier nuclei. The search for a small flux of electrons, however, continued without much success for a long time. It was only during the last five years or so that the existence of a small but fini
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Functions of Exponential Type,e extended complex plane, it can have a singularity only at infinity. If . is an entire function different from a polynomial and .(.) [or .(.) when there is no confusion] denotes the maximum of |.(z)| on the circle |.| ., it follows from Liou-ville’s theorem that .(.) increases more rapidly than any
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On Functional Methods in the ,-Matrix Theory,litudes by the corresponding generating functional and in formulating the basic postulates of the theory in terms of this functional or rather in terms of its off mass shell generalizations. This method is equivalent to the conventional .-matrix theory. There are however, two essential differences i
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An Impact Parameter Formalism,ave proposed an impact parameter formalism,. and Adachi and Kotani have tried to explore its mathematical aspects. and the physical meanings. of the coefficients (the impact parameter amplitude) of the impact parameter expansion of the scattering amplitude.‡
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Some Properties of the Fourier-Bessel Transform, Further, in the particular case that .(.) vanishes outside a finite interval (say between 0 and .) he found that the function .(.) has to satisfy a rather complicated integro-differential equation. We should like here to mention that while these conditions are certainly sufficient for the validity
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The Photoproduction and Scattering of Pions from H3 and He3,r the ground states. As small admixtures of the mixed symmetric .‘-state and the .-state with . = 3/2 are found to play very important roles,. it is worth studying the effects of these admixtures on the differential cross sections for the photoproduction of pions from these nuclei.
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