Physical Chemistry Third Edition

702 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics (^01) x/a (a) x/a Probability 01 (b) Probabi ...

16.4 Postulate 4 and Expectation Values 703 The right one-third of the box will have the same probability as the left one-third ...

704 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics This integral cannot be carried out explicit ...

16.4 Postulate 4 and Expectation Values 705 For motion of one particle in three dimensions and for sufficiently small∆x∆y∆z ( Pr ...

706 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics In the predictable case all outcomes of repe ...

16.4 Postulate 4 and Expectation Values 707 The predictable case is always identifiable by calculating the standard deviation of ...

708 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics Solution We use the fact thatψ 0 andψ 1 are ...

16.4 Postulate 4 and Expectation Values 709 When we multiply out the integrand, there are four terms. Sinceψ 0 andψ 1 are orthog ...

710 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics 〈A〉 ∑∞ j 1 ∑∞ k 1 c∗jckakδjk ∑∞ j 1 c∗j ...

16.5 The Uncertainty Principle of Heisenberg 711 c.Calculate the probability that a quantum-mechanical oscillator in thev1 stat ...

712 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics The productσxσpxis a measure of the combined ...

16.5 The Uncertainty Principle of Heisenberg 713 Other measures of the uncertainty give a different minimum value. For a Gaussia ...

714 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics To calculateσpx, we require〈p^2 x〉, which is ...

16.5 The Uncertainty Principle of Heisenberg 715 The speed of propagation of the de Broglie wave is not necessarily the same as ...

716 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics This relation must hold even if the state co ...

16.6 Postulate 5. Measurements and the Determination of the State of a System 717 with the value for then1 state, and explain t ...

718 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics EXAMPLE16.26 Assume that we want to find the ...

16.6 Postulate 5. Measurements and the Determination of the State of a System 719 Exercise 16.15 Show that the linear combinatio ...

720 16 The Principles of Quantum Mechanics. II. The Postulates of Quantum Mechanics We now make a set of many measurements ofA, ...

16.6 Postulate 5. Measurements and the Determination of the State of a System 721 PROBLEMS Section 16.6: Postulate 5. Measuremen ...