Quantum One: Lecture 2

Postulates of Schrödinger's Wave Mechanics

In the first lecture we talked about how the rules governing a given form of mechanics could be stated in terms of a set of postulates describing1. How to specify the State2. The Nature of Observables3. The Measurement Process4. Evolution

We demonstrated this for several classical forms of mechanics, and asserted that there were several features of Quantum Mechanics that were very different from their classical counterparts.

The five essential new aspects of Quantum Mechanics we identified as:

5. The superposition principle6. Eigenstates and eigenvalues7. The principle of spectral decomposition8. Probabilities as the squared magnitude of amplitudes, and9. Collapse of the dynamical state during measurement

In the first lecture we talked about how the rules governing a given form of mechanics could be stated in terms of a set of postulates describing1. How to specify the State2. The Nature of Observables3. The Measurement Process4. Evolution

We demonstrated this for several classical forms of mechanics, and asserted that there were several features of Quantum Mechanics that were very different from their classical counterparts.

The five essential new aspects of Quantum Mechanics we identified as:

5. The superposition principle6. Eigenstates and eigenvalues7. The principle of spectral decomposition8. Probabilities as the squared magnitude of amplitudes, and9. Collapse of the dynamical state during measurement

In the first lecture we talked about how the rules governing a given form of mechanics could be stated in terms of a set of postulates describing1. How to specify the State2. The Nature of Observables3. The Measurement Process4. Evolution

We demonstrated this for several classical forms of mechanics, and asserted that there were several features of Quantum Mechanics that were very different from their classical counterparts.

The five essential new aspects of Quantum Mechanics we identified as:

5. The superposition principle6. Eigenstates and eigenvalues7. The principle of spectral decomposition8. Probabilities as the squared magnitude of amplitudes, and9. Collapse of the dynamical state during measurement

The goal of this lecture is to see how these ideas were incorporated in the first essentially correct version of Quantum

Mechanics, which was developed by Schrödinger.

Thus, as we did for some of the different forms of classical mechanics, in this lecture we want to clearly, and concisely state:

The Postulates of Schrödinger’s wave mechanics for a single spinless particle

Postulates of Schrödinger’s wave mechanics: Postulate 1

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 2

Postulates of Schrödinger’s wave mechanics Postulate 3

Postulates of Schrödinger’s wave mechanics Postulate 3

Postulates of Schrödinger’s wave mechanics Postulate 3

Postulates of Schrödinger’s wave mechanics Postulate 4

Postulates of Schrödinger’s wave mechanics Postulate 4

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