Abstract
The Wolfram language is a beautiful and handy tool for expressing a wide variety of technical thoughts. Wolfram Mathematica is the software that implements the Wolfram language. In this chapter, we have a look at the most central parts of this language, without focusing on quantum mechanics yet. Students who are familiar with the Wolfram language may skip this chapter; others may prefer alternative introductions.
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Notes
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This is technically called memoization: https://en.wikipedia.org/wiki/Memoization. A similar functionality can be achieved with Mathematica’s
operator, which allows fine-grained control over the storage location, conditions, and duration of the persistent result. - 5.
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A complex matrix \(\varvec{H}\) is Hermitian if \(\varvec{H}=\varvec{H}^{\dagger }\). See https://en.wikipedia.org/wiki/Hermitian_matrix.
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Arnoldi–Lanczos algorithm: https://en.wikipedia.org/wiki/Lanczos_algorithm.
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operator, which allows fine-grained control over the storage location, conditions, and duration of the persistent result.Author information
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Schmied, R. (2020). Wolfram Language Overview. In: Using Mathematica for Quantum Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-13-7588-0_1
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DOI: https://doi.org/10.1007/978-981-13-7588-0_1
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