O'Reilly logo

Quantum Physics for Scientists and Technologists: Fundamental Principles and Applications for Biologists, Chemists, Computer Scientists, and Nanotechnologists by Paul Sanghera

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

10

STATISTICAL QUANTUM MECHANICS

God does not throw dice.

Albert Einstein, 1926

God not only plays dice, but He sometimes confuses us by throwing them where they cannot be seen.

Stephen Hawking, 1994

Figure 10.0. Gaming revenue for downtown Las Vegas.

Data drawn from Nevada Gaming Commission.

One year moving average 10 December 2008.

Courtesy of Hajor for Luxor Hotel, Nail Li for New York Hotel, and Frank Martin for the graph.

Mathematics is the language of science. Statistics, which is the science of collecting and making effective use of numerical data relating to groups of individual entities including people, atoms, and molecules, is an important part of mathematics. The data may come from surveys or from experiments. Statistics deals with different aspects of data including planning for data collection, data collection, analysis, and interpretation. Planning for data collection includes designing surveys or experiments. The beauty of statistics for a physicist lays in the fact that its basic principles apply equally to both classical and quantum physics.

c10f012

In This Chapter

10.1 Introduction

10.2 Statistical Distributions

10.3 Maxwell–Boltzmann Distribution

10.4 Molecular Systems with Quantum States

10.5 Distribution of Vibrational Energies

10.6 Distribution of Rotational Energies

10.7 Distribution of Translational Energies

10.8 Quantum Statistics of Distinguishable Particles: ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required