منابع مشابه
Quantum and Braided Integrals
We give a pedagogical introduction to integration techniques appropriate for non-commutative spaces while presenting some new results as well. A rather detailed discussion outlines the motivation for adopting the Hopf algebra language. We then present some trace formulas for the integral on Hopf algebras and show how to treat the ∫ 1 = 0 case. We extend the discussion to braided Hopf algebras r...
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متن کاملThe Evaluation of Quantum Integrals.
where a and b denote the roots of the radicand. Before preparing his own method of computation, Mr. Kemble criticizes two procedures -used by other authors and rejects them as inadequate and even as errone,ous. This judgment cannot remain uncontradicted for in reality these procedures are both perfectly correct and very efficient. Since the integral under consideration was first introduced into...
متن کاملThe Evaluation of Quantum Integrals.
The application of the Wilson-Sommerfeld quantum conditions to a conditionally periodic system with orthogonal coordinates involves the evaluation of an integral of the type J = f(q) dq. (1) The integral is to be extended over a.complete cycle of values of q, which oscillates between two roots of f(q). The sign of the radical is to be the same as that of dq, so that if a and b denote the roots ...
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We present the path integral formulation of quantum mechanics and demonstrate its equivalence to the Schrödinger picture. We apply the method to the free particle and quantum harmonic oscillator, investigate the Euclidean path integral, and discuss other applications.
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2010
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(10)00021-2