An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. Since the solution to 51P from 6 chapter was answered, more than 279 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. The full step-by-step solution to problem: 51P from chapter: 6 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This full solution covers the following key subjects: position, momentum, Integrals, vectors, section. This expansive textbook survival guide covers 10 chapters, and 454 solutions. The answer to “In this section we computed the single-particle translational partition function, Ztr by summing over all definite-energy wave functions. An alternative approach, however, is to sum over all possible position and momentum vectors, as we did in Section 2.5. Because position and momentum are continuous variables, the sums are really integrals, and we need to slip in a factor of 1/h3 to get a unitless number that actually counts the independent wave functions. Thus, we might guess the formula where the single integral sign actually represents six integrals, three over the position components (denoted d3r) and three over the momentum components (denoted d3p). The region of integration includes all momentum vectors, but only those position vectors that lie within a box of volume V. By evaluating the integrals explicitly, show that this expression yields the same result for the translational partition function as that obtained in the text. (The only time this formula would not be valid would be when the box is so small that we could not justify converting the sum in equation to an integral.)” is broken down into a number of easy to follow steps, and 177 words.