Titlebook: Lectures in Quantum Mechanics; A Two-Term Course Luigi E. Picasso Textbook 2016 Springer International Publishing Switzerland 2016 Angular

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Obverse

The Harmonic Oscillator,ergy for a one-dimensional oscillator. In this section we shall limit ourselves to obtain only some qualitative conditions on the energy levels of the oscillator, mainly with the purpose of giving to the reader the occasion to get acquainted with some techniques and concepts of quantum mechanics.

Moderate

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FISC

From Einstein to de Broglie,According to classical physics, the energy associated with a monochromatic electromagnetic wave is proportional to its intensity; the intensity can have any value above zero, and can therefore be varied with continuity. Furthermore this energy is distributed in space in a continuous way.

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Representation Theory,Let ∣..〉, . = 1, 2, … be an orthonormal basis of vectors.

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,Schrödinger Equation for One-Dimensional Systems,In this section we will be concerned with the relatively simple problem of determining the eigenvalues of the Hamiltonian of the free particle. We will discuss the one-dimensional case. Our system consists therefore of a particle constrained to move on a straight line.

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One-Dimensional Systems,In Chap. . we have found the eigenvalues and the eigenvectors of the Hamiltonian of the one-dimensional harmonic oscillator. We want now to find the eigenfunctions .(.) = <. | .> of the Hamiltonian in the Schrödinger representation.

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