p-adic quantum mechanics for \(p=2\)

DOI10.1007/BF01016111zbMath0698.43006MaRDI QIDQ912345

E. I. Zelenov

Publication date: 1989

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Weyl groupharmonic oscillatorfree particleGaussian integralsfree wave packetkernels of evolution operatorsp-adic quantum mechanics

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Geometry and quantization, symplectic methods (81S10) Analysis on other specific Lie groups (43A80) (p)-adic differential equations (12H25) Differential equations in abstract spaces (34G99)

Related Items (7)

p-adic quantum mechanics with p-adic valued functions ⋮ Representations of commutations relations for p-adic systems of infinitely many degrees of freedom ⋮ Tables of integrals for complex-valued functions of \(p\)-adic arguments ⋮ p-adic path integrals ⋮ Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics ⋮ p-adic quantum mechanics ⋮ An asymptotic expansion of the \(p\)-adic Green function

Cites Work

• p-adic quantum mechanics

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