Download Principles of Quantum Mechanics: As Applied to Chemistry and by Donald D. Fitts PDF

By Donald D. Fitts

Regardless of its name, this booklet includes few functions to chemistry. What distinguishes it from such a lot QM texts is the absence of physics-specific functions like stable nation, and the cautious, step by step method through which the writer derives effects. i might suggest it to somebody (chemist, physicist, no matter what) who desires to recognize nonrelativistic quantum thought. it is also a convenient reference for a number of matters that experience extensive use outdoor QM, like crew pace and round harmonics. the fashion is a section dry, and that i doubt that i will ever learn it disguise to hide, yet as a textbook it truly is challenging to overcome.

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Additional resources for Principles of Quantum Mechanics: As Applied to Chemistry and Chemical Physics

Example text

Thus, the probability of ®nding the particle between x and x ‡ dx at time t is jØ(x, t)j2 dx. The location of a particle, at least within an arbitrarily small interval, can be determined through a physical measurement. If a series of measurements are made on a number of particles, each of which has the exact same wave function, then these particles will be found in many different locations. Thus, the wave function does not indicate the actual location at which the particle will be found, but rather provides the probability for ®nding the particle in any given interval.

215±16, (Oxford University Press, Oxford). 30 The wave function information that can be known about the particle that it represents. The wave function is a complete description of the quantum behavior of the particle. For this reason, the wave function is often also called the state of the system. In the double-slit experiment, the patterns observed on the detection screen are slowly built up from many individual particle impacts, whether these particles are photons or electrons. The position of the impact of any single particle cannot be predicted; only the cumulative effect of many impacts is predetermined.

The consequence of this principle is that at any instant of time the position 22 The wave function of the particle is de®ned only as a range Äx and the momentum of the particle is de®ned only as a range Ä p. The product of these two ranges or `uncertainties' is of order " or larger. The exact value of the lower bound is dependent on how the uncertainties are de®ned. 10. The Heisenberg uncertainty principle is a consequence of the stipulation that a quantum particle is a wave packet. 44). It is not the situation that while the position and the momentum of the particle are well-de®ned, they cannot be measured simultaneously to any desired degree of accuracy.

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