In 1927, Heisenberg proposed his famous Uncertainty Principle that extended the conceptual grounds of quantum theory in surprising ways. In short, Heisenberg stated that: O In principle, no two atomic particles in an orbital can have the same quantum numbers O None of these statements is correct O In principle one cannot simultaneously determine the mass of a sub-atomic particle and its charge with equal accuracy. In other words, in contradistinction to the determinism of Classical physics, where in theory, given initial conditions, we should be able to predict all future behavior of all particles, quantum mechanics reveals an inherent indeterminacy built into nature and our understanding of it. O In principle one cannot simultaneously determine the position of a sub-atomic particle and its speed (or momentum) with equal accuracy. In other words, in contradistinction to the determinism of Classical physics, where in theory, given initial conditions, we should be able to predict all future behavior of all particles, quantum mechanics reveals an inherent indeterminacy built into nature and our understanding of it.

In 1927, Heisenberg proposed his famous Uncertainty Principle that extended the conceptual grounds of quantum theory in surprising ways. In short, Heisenberg stated that: O In principle, no two atomic particles in an orbital can have the same quantum numbers O None of these statements is correct O In principle one cannot simultaneously determine the mass of a sub-atomic particle and its charge with equal accuracy. In other words, in contradistinction to the determinism of Classical physics, where in theory, given initial conditions, we should be able to predict all future behavior of all particles, quantum mechanics reveals an inherent indeterminacy built into nature and our understanding of it. O In principle one cannot simultaneously determine the position of a sub-atomic particle and its speed (or momentum) with equal accuracy. In other words, in contradistinction to the determinism of Classical physics, where in theory, given initial conditions, we should be able to predict all future behavior of all particles, quantum mechanics reveals an inherent indeterminacy built into nature and our understanding of it.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 30P

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Similar questions

A proton is confined to a nucleus whose diameter is 5.5 × 10^−15 ?. If this distance is considered to be the uncertainty in the position of the proton, what is the minimum uncertainty in its momentum?
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Using the concept of standing waves, de Broglie was able to derive Bohr’s stationary orbit postulate. He assumed a confined electron could exist only in states where its de Broglie waves form standing-wave patterns, as in Figure 28.6. Consider a particle confined in a box of length L to be equivalent to a string of length L and fixed at both ends. Apply de Broglie’s concept to show that (a) the linear momentum of this particle is quantized with p=mv = nh/2L and (b) the allowed states correspond to particle energies of En =n2 E0, where E0 = h2/(8mL2).
The Bohr’s hydrogen model is based on the following postulate: mvr = nh¯, where n is a positive integer. What is the electron’s speed when it is in the SECOND excited state? What is the wavelength of the light, in nanometers, emitted by the electron when it moves from the SECOND excited state to the ground state?
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