Recent content by Mark Spearman
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Graduate Canonical Conjugates and Fourier Transforms in Classical Physics
In quantum mechanics one can convert the wave function of one variable into the wave function of its conjugate pair (e.g., momentum and coordinate) using a Fourier transform. Now consider the classical case. Suppose there is a particle in a potential well with insufficient energy to escape...- Mark Spearman
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- Classical Classical physics Fourier Physics
- Replies: 1
- Forum: Beyond the Standard Models
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Old Quantum Theory and the Linear Harmonic Oscillator
Thank you, JavairR for your prompt response. The method you outlined is excellent and very clear. It results in the minimum energy state for the LHO which is, hbar omega/2. However, my problem is different and since the last post, I was able to arrive at the answer which is think is...- Mark Spearman
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- Forum: Advanced Physics Homework Help
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Old Quantum Theory and the Linear Harmonic Oscillator
Homework Statement Calculate the quantized energy levels of a linear harmonic oscillator of angular frequency $\omega$ in the old quantum theory. Homework Equations \[ \oint p_i dq_i = n h \] The Attempt at a Solution This is supposed to be a simple "exercise" (the first in...- Mark Spearman
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- Harmonic Harmonic oscillator Linear Oscillator Quantum Quantum theory Theory
- Replies: 2
- Forum: Advanced Physics Homework Help