16 research outputs found
From Baking a Cake to Solving the Schrodinger Equation
The primary emphasis of this study has been to explain how modifying a cake
recipe by changing either the dimensions of the cake or the amount of cake
batter alters the baking time. Restricting our consideration to the genoise,
one of the basic cakes of classic French cuisine, we have obtained a
semi-empirical formula for its baking time as a function of oven temperature,
initial temperature of the cake batter, and dimensions of the unbaked cake. The
formula, which is based on the Diffusion equation, has three adjustable
parameters whose values are estimated from data obtained by baking genoises in
cylindrical pans of various diameters. The resulting formula for the baking
time exhibits the scaling behavior typical of diffusion processes, i.e. the
baking time is proportional to the (characteristic length scale)^2 of the cake.
It also takes account of evaporation of moisture at the top surface of the
cake, which appears to be a dominant factor affecting the baking time of a
cake. In solving this problem we have obtained solutions of the Diffusion
equation which are interpreted naturally and straightforwardly in the context
of heat transfer; however, when interpreted in the context of the Schrodinger
equation, they are somewhat peculiar. The solutions describe a system whose
mass assumes different values in two different regions of space. Furthermore,
the solutions exhibit characteristics similar to the evanescent modes
associated with light waves propagating in a wave guide. When we consider the
Schrodinger equation as a non-relativistic limit of the Klein-Gordon equation
so that it includes a mass term, these are no longer solutions.Comment: 23 pages, 10 Postscript figure
Kalo einstein lagi cukuran, ngobrolin apa ya? : Lebih banyak lagi penjelasan ilmiah tentang peristiwa sehari-hari.
Jakartaxviii, 264 p.; 23 cm
Einstein aja gak tau : penjelasan ilmiah tentang peristiwa sehari-hari/ Wolke
xiii, 267 hal. : ill. ; 23 cm
Einstein aja gak tau : penjelasan ilmiah tentang peristiwa sehari-hari/ Wolke
xiii, 267 hal. : ill. ; 23 cm
Einstein Aja Gak tau: Penjelasan ilmiah tentang peristiwa sehari-hari
viii,267hlm.;Ilus, : 23c
Kalo Einstein lagi cukuran, ngobrolin apa ya ; lebih banyak lagi penjelasan ilmiah tentang peristiwa sehari-hari/ Wolke
xviii, 264 hal. ; ill. : 23 c