trotter product formula
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scholarly journals Tosio Kato’s work on non-relativistic quantum mechanics, Part 2

2019 ◽  
Vol 09 (01) ◽  
pp. 1950005 ◽  
Author(s):  
Barry Simon
Keyword(s):  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Trace Class ◽  
Product Formula ◽  
Relativistic Quantum Mechanics ◽  
Adiabatic Theorem ◽  
Trotter Product Formula ◽  
Embedded Eigenvalues

We review the work of Tosio Kato on the mathematics of non-relativistic quantum mechanics and some of the research that was motivated by this. Topics in this second part include the absence of embedded eigenvalues, trace class scattering, Kato smoothness, the quantum adiabatic theorem and Kato’s ultimate Trotter Product Formula.

scholarly journals Remarks on the Operator-Norm Convergence of the Trotter Product Formula

2018 ◽  
Vol 90 (2) ◽  
Author(s):  
Hagen Neidhardt ◽  
Artur Stephan ◽  
Valentin A. Zagrebnov
Keyword(s):  
Product Formula ◽  
Operator Norm ◽  
Norm Convergence ◽  
Trotter Product Formula

scholarly journals Quantum Stochastic Lie–Trotter Product Formula II

2018 ◽  
Vol 2019 (12) ◽  
pp. 3901-3939 ◽  
Author(s):  
J Martin Lindsay
Keyword(s):  
Product Formula ◽  
Trotter Product Formula

scholarly journals A thermal coherent state defined with the Lie-Trotter product formula

2015 ◽  
Vol 62 (13) ◽  
pp. 1081-1090
Author(s):  
Hiroo Azuma ◽  
Masashi Ban
Keyword(s):  
Coherent State ◽  
Product Formula ◽  
Trotter Product Formula

scholarly journals A Homomorphism Theorem and a Trotter Product Formula for Quantum Stochastic Flows with Unbounded Coefficients

2014 ◽  
Vol 330 (2) ◽  
pp. 435-467 ◽  
Author(s):  
Biswarup Das ◽  
Debashish Goswami ◽  
Kalyan B. Sinha
Keyword(s):  
Product Formula ◽  
Stochastic Flows ◽  
Unbounded Coefficients ◽  
Trotter Product Formula ◽  
Homomorphism Theorem

scholarly journals Erratum to: A Trotter product formula for gradient flows in metric spaces

2013 ◽  
Vol 13 (1) ◽  
pp. 251-252
Author(s):  
Philippe Clément ◽  
Jan Maas
Keyword(s):  
Metric Spaces ◽  
Product Formula ◽  
Gradient Flows ◽  
Trotter Product Formula
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