From Weyl to Born–Jordan quantization: The Schrödinger representation revisited

2016 ◽  
Vol 623 ◽  
pp. 1-58 ◽  
Author(s):  
Maurice A. de Gosson
Keyword(s):  
Schrödinger Representation

scholarly journals On the structure of analytic vectors for the Schrödinger representation

2011 ◽  
Vol 167 (1) ◽  
pp. 61-80 ◽  
Author(s):  
Rahul Garg ◽  
Sundaram Thangavelu
Keyword(s):  
Schrödinger Representation

CRITICAL BEHAVIOR FROM SCHRÖDINGER REPRESENTATION

1992 ◽  
Vol 07 (22) ◽  
pp. 1975-1981 ◽  
Author(s):  
P. SURANYI
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Integral Equations ◽  
Critical Behavior ◽  
Transcendental Equation ◽  
Schrödinger Representation ◽  
Correlation Exponent ◽  
Truncation Scheme ◽  
Infinite Set ◽  
Good Agreement

The Schrödinger equation for Φ4 field theory is reduced to an infinite set of integral equations. A systematic truncation scheme is proposed and it is solved in second order to obtain the approximate critical behavior of the renormalized mass. The correlation exponent is given as a solution of a transcendental equation. It is in good agreement with the Ising model in all physical dimensions.

scholarly journals Schrödinger representation for a scalar field on curved spacetime

2002 ◽  
Vol 66 (8) ◽  
Author(s):  
Alejandro Corichi ◽  
Jerónimo Cortez ◽  
Hernando Quevedo
Keyword(s):  
Scalar Field ◽  
Curved Spacetime ◽  
Schrödinger Representation

SCHRÖDINGER REPRESENTATION AND SYMPLECTIC EMBEDDING OF TOPOLOGICAL SOLITONS

2005 ◽  
Vol 20 (32) ◽  
pp. 2455-2465 ◽  
Author(s):  
SOON-TAE HONG
Keyword(s):  
Phase Space ◽  
Quantum Number ◽  
Lagrange Multiplier ◽  
Homotopy Class ◽  
Canonical Quantization ◽  
Topological Solitons ◽  
Symplectic Embedding ◽  
Class System ◽  
Collective Coordinates ◽  
Schrödinger Representation

Exploiting the SU(2) Skyrmion Lagrangian with second-class constraints associated with Lagrange multiplier and collective coordinates, we convert the second-class system into the first-class one in the Batalin–Fradkin–Tyutin embedding through the introduction of Stückelberg coordinates. In the enlarged phase space possessing the Stückelberg coordinates, we perform the "canonical" quantization to describe the Schrödinger representation of the SU(2) Skyrmion, so that we can assign via the homotopy class π4( SU (2))=Z2 half integers to the isospin quantum number for the solitons. The symplectic embedding and the Becchi–Rouet–Stora–Tyutin symmetries involved in the SU(2) Skyrmion are also investigated.

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