P-adic quantum mechanics

This article provides an introduction to the subject, followed by a review of the mathematical concepts involved. It then considers modern research… (More)
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1982-2017
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Papers overview

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2016
2016
In 1980, Gross conjectured a formula for the expected leading term at s = 0 of the Deligne–Ribet p-adic L-function associated to… (More)
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2008
2008
In our previous work the nonlinearity parameter fNL, which characterizes nongaussianity in the cosmic microwave background, was… (More)
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2007
2007
Using an adelic approach we simultaneously consider real and padic aspects of dynamical systems whose states are mapped by linear… (More)
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2007
2007
In [4] Kostant showed that the set of Iwasawa double cosets which intersect a given Cartan double coset in a semisimple Lie group… (More)
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2004
2004
Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta Doctor of Philosophy in… (More)
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2001
2001
  • S. V. LUDKOVSKY
  • 2001
Non-Archimedean analogs of Markov quasimeasures and stochastic processes are investigated. They are used for the development of… (More)
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2000
2000
The Feynman path integral in p-adic quantum mechanics is considered. The probability amplitude K p (x ′′ , t ′′ ; x ′ , t ′) for… (More)
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Highly Cited
1997
Highly Cited
1997
Let p be a prime, Cp the completion of an algebraic closure of the p-adicnumbers Qp and K a finite extension of Qp contained in… (More)
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1995
1995
— In this paper, we prove control theorems for the p-adic nearly ordinary cohomology groups for SL(n) over an aribitrary number… (More)
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1982
1982
In a recent paper, Wang [1981] introduces a p-adic algorithm for the construction of partial fraction decompositions. This… (More)
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