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Methods of Theoretical Physics Parts I & II

Philip M. Morse, +2 more
- 01 Dec 1954 - 
- Vol. 7, Iss: 12, pp 15-16
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This article is published in Physics Today.The article was published on 1954-12-01. It has received 87 citations till now.

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Global Linear Instability

TL;DR: A review of linear instability analysis of flows over or through complex 2D and 3D geometries is presented in this article, where the authors make a conscious effort to demystify both the tools currently utilized and the jargon employed to describe them, demonstrating the simplicity of the analysis.
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Statistics of energy levels and eigenfunctions in disordered systems

TL;DR: In this article, a review of recent developments in the theory of fluctuations and correlations of energy levels and eigenfunction amplitudes in diffusive mesoscopic samples is presented, with emphasis on low-dimensional (quasi-1D and 2D) systems.
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The spectral decomposition of the option value

TL;DR: In this paper, a spectral expansion approach to the valuation of contingent claims when the underlying state variable follows a one-dimensional diffusion with the infinitesimal variance a2(x), drift b(x) and instantaneous discount (killing) rate r(x).
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On the rovibrational levels of the H3 ÷ and H2D ÷ molecules

TL;DR: In this paper, the exact rovibrational levels for the H3 + and H2D+ molecules were calculated using a recently published accurate potential, and the implications for astrophysics, the interpretation of the infrared spectrum of H3+ near its dissociation limit and the unassigned spectrum of h2D+, were discussed.
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Order 104 speedup in global linear instability analysis using matrix formation

TL;DR: In this paper, a unified solution framework is presented for one-, two-or three-dimensional complex non-symmetric eigenvalue problems, respectively governing linear modal instability of incompressible fluid flows in rectangular domains having two, one or no homogeneous spatial directions.