I90 SCIENCE PROGRESS 



Bateman, H„ Correspondences between Three-Dimensional and Four- 

 Dimensional Potential Functions, Mess. Math., li, 1922, 151-60. 

 Cowley, W. L., and Levy, H., On a Method of Analj^sis suitable for the 



Differential Equations of Mathematical Physics, Phil. Mag., (vi) 41, 



1921, 584-607. 

 Frary, H. D., The Green's Function for a Plane Contour, Amer. Jour. 



Math., xlii, 1920, 11-25. 

 Gevrey, M., Sur la determination des fonctions de Green, Comptes Rendus, 



171, 1920, 610-12. 

 Humbert, P., L'equation de Laplace en coordin6es hypertoroidales, ibid., 



171, 1920, 1 1 16-19. 

 Hayashi, T., On Picard's Solution of Aif = k^u, Sci. Rep. Toh. Imp. Univ., 



ix, 1920, 295-304. 

 Hayashi, T., On a certain Differential Equation in Mathematical Physics, 



ihid., X, 192 1, 43-55 ; the equation is (i — x^)y'' = [a -\- bx^)y. 

 Pal, B., On the Application of Mathieu Functions to Physical Problems, 



Bull. Calc. Math. Soc, xii, 1921, 173-82, 

 Das, p., On the Vibrations of the Pianoforte String, Proc. Ind. Ass. Sci., 



vii, 1921, 13-20. 

 Ghosh, R. N., On the Forced Oscillation of Stretched Strings under Damping 



proportional to the Square of the Velocity, ibid., vi, 1920, 67-86. 

 Banerji, B., Mechanical Illustration of the Theory of Large Oscillations 



and Combinational Tones, ibid., vi, 1920, 37-50. 

 Webster, A. G., On a Condition for Helmholtz's Equation similar to Lame's, 



Proc. Nat. Acad. Sci., U.S.A., 1920, 605-7. 

 Walker, G. T., The Theory of the Flute, Proc. Iitd. Ass. Sci., vi, 1921, 



113-20. 

 Chapman, S., and Livens, G. H., The Influence of Diffusion in the Propa- 

 gation of Sound Waves in Air, Proc. L.M.S., (2) 19, 192 1, 341-9- 

 Jones, J. E., On the Distribution of Energy in Air surrounding a Vibrating 



Body, ibid., (2) 20, 1922, 347-64, deahng with a sphere vibrating in 



various ways in an infinite medium. 

 Banerji, S., Note on Spherical Waves of Finite Amphtude, Bull. Calc. Math. 



Soc, xii, 1 92 1, 189-92. 

 Dfiv6, C, Sur les ondes de choc, leur refraction et leur mirage h I'interieur 



d'un courant d'air, Comptes Rendus, 171, 1920, 605-7 ; see also 



H. Parent Y, ibid., 11 90-4. 

 Milne, E. A., Sound Waves in the Atmosphere, Phil. Mag., (vi) 43, 1921, 



96-114. 



PHYSICS. By J. Rice, M.A., University, Liverpool. 



A Quantum Mechanism in the Atom. — In Vol. 42 of the Proc. 

 Roy. Soc. Edin. there have appeared a group of interesting 

 papers expounding and discussing a mechanism which is 

 capable of giving unreversed action upon an electron in its 

 motion towards and through an atom and which compels all 

 exchanges between the kinetic energ}^ of electrons and 

 radiant energy to conform to the Planck quantum equations. 

 The idea appears to have arisen in the mind of Prof. E. T. 

 Whittaker while listening to an exposition by Sir Alfred 

 Ewing, now Principal of the University of Edinburgh, of a 

 new model which he has proposed to account for ferromag- 

 netic induction. In this address, which is also printed in the 



