Quantum harmonic oscillator - Wikipedia
The quantum harmonic oscillator is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary smooth potential can usually be approximated as a harmonic potential at the vicinity of a stable equilibrium point, it is one of the most important model systems in quantum mechanics.
7.6: The Quantum Harmonic Oscillator - Physics LibreTexts
The quantum harmonic oscillator is a model built in analogy with the model of a classical harmonic oscillator. It models the behavior of many physical systems, such as molecular vibrations or wave …
Quantum Harmonic Oscillator: Wavefunctions - HyperPhysics
The wavefunctions for the quantum harmonic oscillator contain the Gaussian form which allows them to satisfy the necessary boundary conditions at infinity.
7.5 The Quantum Harmonic Oscillator - OpenStax
Describe the model of the quantum harmonic oscillator; Identify differences between the classical and quantum models of the harmonic oscillator; Explain physical situations where the classical and the quantum models coincide
The Quantum Harmonic Oscillator - George Mason University
2004年5月5日 · The Equation for the Quantum Harmonic Oscillator is a second order differential equation that can be solved using a power series. In following section, 2.2, the power series method is used to derive the wave function and the eigenenergies for …
6.5: The Quantum Harmonic Oscillator - Physics LibreTexts
2024年5月24日 · We can employ many of the properties of wave functions and their energy spectra to get some sense of what the wave functions for the energy eigenstates look like: potential is infinite – Like the infinite square well, this potential will …
The h.o. oscillator in QM is an important model that describes many different physical situations. We will study in depth a particular system described by the h.o., the electromagnetic field.
The Quantum Harmonic Oscillator – University Physics Volume 3
The quantum harmonic oscillator is a model built in analogy with the model of a classical harmonic oscillator. It models the behavior of many physical systems, such as molecular vibrations or wave packets in quantum optics. The allowed energies of a …
VI The harmonic oscillator‣ Quantum Mechanics — Lecture …
You could now draw diagrams of the potential, bound state energies, ground- and excited state wave functions, and the associated probability densities of the particle position.
2017年5月19日 · In quantum mechanics a harmonic oscillator with mass mand frequency!is described by the following Schr¨odinger’s equation: ~2 2m d2 dx2 + 1 2 m!2x2 (x) = E (x): (1) The solution of Eq. (1) supply both the energy spectrum of the oscillator E= E n and its wave function, = n(x); j (x)j2 is a probability density to find the oscillator at the ...
- 某些结果已被删除