By Brian Hall
Although rules from quantum physics play a big position in lots of elements of recent arithmetic, there are few books approximately quantum mechanics aimed toward mathematicians. This ebook introduces the most principles of quantum mechanics in language universal to mathematicians. Readers with little earlier publicity to physics will benefit from the book's conversational tone as they delve into such issues because the Hilbert house method of quantum idea; the Schrödinger equation in a single house size; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the position of Lie teams and Lie algebras in quantum mechanics; and the path-integral method of quantum mechanics.
The quite a few routines on the finish of every bankruptcy make the e-book compatible for either graduate classes and self reliant learn. lots of the textual content is offered to graduate scholars in arithmetic who've had a primary direction in genuine research, masking the fundamentals of L2 areas and Hilbert spaces. the ultimate chapters introduce readers who're acquainted with the speculation of manifolds to extra complicated issues, together with geometric quantization.
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Quantum Theory for Mathematicians (Graduate Texts in Mathematics) by Brian Hall