James R. Barrante's Applied Mathematics for Physical Chemistry (2nd Edition) PDF

By James R. Barrante

ISBN-10: 0137417373

ISBN-13: 9780137417377

The product used to be in an ideal situation, the e-book itself is particularly worthwhile while you are taking a actual Chemistry type to remind you of a few calculus purposes. i'm very chuffed with the product.

Show description

Read or Download Applied Mathematics for Physical Chemistry (2nd Edition) PDF

Best physical chemistry books

Download e-book for iPad: Molecular Theory of Solvation by F. Hirata

Molecular thought of Solvation provides the new growth within the statistical mechanics of molecular drinks utilized to the main exciting difficulties in chemistry at the present time, together with chemical reactions, conformational balance of biomolecules, ion hydration, and electrode-solution interface. The continuum version of "solvation" has performed a dominant position in describing chemical procedures in answer over the last century.

Download e-book for iPad: Physical Chemistry of Macromolecules: Basic Principles and by S. F. Sun

Integrating assurance of polymers and organic macromolecules right into a unmarried textual content, actual Chemistry of Macromolecules is punctiliously based to supply a transparent and constant source for novices and execs alike. the elemental wisdom of either biophysical and actual polymer chemistry is roofed, besides vital phrases, uncomplicated structural homes and relationships.

Download e-book for kindle: Advances in Chemical Physics Volume 140 by Stuart A. Rice

This sequence offers the chemical physics box with a discussion board for severe, authoritative reviews of advances in each quarter of the self-discipline.

New PDF release: Catalysis of Organic Reactions (Chemical Industries)

This article deals authoritative contributions from approximately two hundred leaders within the box and new how to increase catalytic reactions. "Catalysis of natural Reactions" covers techniques for designing, editing, and changing catalysts for enhanced functionality, functionality, and balance, systems to lessen derivative formation, and reasonable possible choices for the hydrogenation of natural compounds.

Extra resources for Applied Mathematics for Physical Chemistry (2nd Edition)

Example text

LAdding two more terms to an infinite sum is the same as adding zero The Schrodinger equation describing a simple one-dimensional harmonic oscillator is where n,m, h, E, and k are constants. Show that this equation can be solved using Hermite polynomials. 80 Chapter 6 Solution. Differential Equations Section 6-6 Let Special Polynomial Solutions to Differential Equations 81 leads to the Laguerre polynomials of degree n: E 8n2m~ h2 = -- and 4n2mk hZ ,T2 = ---- Substituting these into Equation (6-29)gives We now make a change of variables by letting A differential equation closely related to Laguerre's equation is the equation t*=a x .

Thus, v = Lk, and a particular solution to Equation (6-36)is =e-~12x(k-~l/2~k (6-38) This function is called the associated Laguerre function. Example - The radial part of the Schrodinger equation for the hydrogen atom is The series solution is therefore - where n, w, h, E Q , and e are constants. Show that solutions to this equation are the associated Laguerre polynomials. Again, suitable choice of a,, a,,=(-l)"n! Solution. To transform the radial equation into a form that resembles Laguerre's equation, let us first expand the equation.

If you can find a copy, grab it! 3. NAGLE, R. , Boston, 1996. 4. , Upper Saddle River, NJ, 1997. PROBLEMS 1. Solve the following linear differential equations: y 3y=o -d+ dx Notice that this isolates the @ term. By the same arguments used above, the @ term must equal a constant, call it -mZ. Therefore, d y- 3y = 0 1 d Z @ = -m2 -- @(@I dx d@Z dZY+2dy+y=0 dx2 dx and d2y dx2 6 -dy +9y=O dx d2y =O -+9y dx2 dx - k l (a - x ) - k2x; k,. kZ, and a are constants. df since the sum of these two terms equals zero.

Download PDF sample