Quantum mechanics, functional integrals

1992 ◽  
pp. 1-58
Keyword(s):  
Quantum Mechanics ◽  
Functional Integrals

ON p-ADIC FUNCTIONAL INTEGRALS

1988 ◽  
Vol 03 (06) ◽  
pp. 639-643 ◽  
Author(s):  
GIORGIO PARISI
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Free Field ◽  
Two Dimensional ◽  
Functional Integrals

In this letter we present a possible form of quantum mechanics in the case where the dynamical variables (or the time) are p-adic numbers. We also present a possible formulation of two-dimensional free field theory on a two-dimensional p-adic space.

Functional Integrals and Quantum Mechanics: Formal Developments

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Path Integral ◽  
Perturbation Expansion ◽  
Scattering Matrix ◽  
Quantum Mechanical ◽  
Functional Integrals

Time-ordered products and connection with the path integral. Applications in quantum mechanical problems. T-products and the scattering matrix. The perturbation expansion. The scalar field.

Use of Functional Integrals in Quantum Mechanics and Field Theory

1972 ◽  
Vol 15 (2) ◽  
pp. 193-204 ◽  
Author(s):  
D I Blokhintsev ◽  
B M Barbashov
Keyword(s):  
Field Theory ◽  
Quantum Mechanics ◽  
Functional Integrals

Functional Integrals and Probabilistic Amplitudes

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Quantum Mechanics ◽  
Coherent States ◽  
Path Integrals ◽  
Functional Integrals ◽  
Bargmann Representation

Functional integrals and probabilistic amplitudes. Brief historical notes. The reconstruction of quantum mechanics from path integrals. The Feynman formulation. Definition and properties of the coherent states and the Bargmann representation.

scholarly journals QUANTUM MECHANICS OVER A q-DEFORMED (0 + 1)-DIMENSIONAL SUPERSPACE

1998 ◽  
Vol 13 (24) ◽  
pp. 4173-4182 ◽  
Author(s):  
H. MONTANI ◽  
R. TRINCHERO
Keyword(s):  
Quantum Mechanics ◽  
Mass Term ◽  
Functional Integral ◽  
Supersymmetric Quantum Mechanics ◽  
Fermion Field ◽  
Functional Integrals ◽  
Explicit Realization ◽  
Representation Spaces

We built up an explicit realization of (0 + 1)-dimensional q-deformed superspace coordinates as operators on standard superspace. A q-generalization of supersymmetric transformations is obtained, enabling us to introduce scalar superfields and a q-supersymmetric action. We consider a functional integral based on this action. Integration is implemented, at the level of the coordinates and at the level of the fields, as traces over the corresponding representation spaces. Evaluation of these traces leads us to standard functional integrals. The generation of a mass term for the fermion field leads, at this level, to an explicitly broken version of supersymmetric quantum mechanics.

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