Perspectives on Nonlinearity in Quantum Theory (original) (raw)

0 Perspectives on Nonlinearity in Quantum Mechanics

Gerald Goldin

2000

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Gauge transformations in quantum mechanics and the unification of nonlinear Schrödinger equations

Gerald Goldin

1999

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Introducing nonlinear gauge transformations in a family of nonlinear Schrödinger equations

Gerald Goldin

Physical Review A, 1996

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Linear quantum theory and its possible nonlinear generalizations

Kingsley Jones

Annals of Physics, 1994

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Symmetries of Non-Linear Systems: Group Approach to their Quantization

Francisco F. Lopez-Ruiz, Manuel Calixto

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Extensions of Physical Theories: Quantum Mechanics with Internal Degrees of Freedom and Nonlinear Transformations

R. Zhdanov, H.-D. Doebner

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Gauge Transformations for a Family of Nonlinear Schrodinger Equations

Gerald Goldin

Journal of Nonlinear Mathematical Physics, 1997

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The preparation problem in nonlinear extensions of quantum theory

Eric Cavalcanti

2012

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Quantum mathematics: Backgrounds and some applications to nonlinear dynamical systems

Anatolij Prykarpatski

Nonlinear Oscillations, 2008

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Nonlinear dynamics from linear quantum evolutions

Luca Schiavone

Annals of Physics

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Generalized Gauge Invariants for Certain Nonlinear Schrodinger Equations

Gerald Goldin

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Towards a Nonlinear Quantum Physics

José ramalho Croca

World Scientific Series in Contemporary Chemical Physics, 2002

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Diffeomorphism groups and nonlinear quantum mechanics

Gerald Goldin

Journal of Physics: Conference Series, 2012

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On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics

Gerald Goldin

Physics Letters A, 2001

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Nonlinear generalized functions and the Heisenberg-Pauli foundations of Quantum Field Theory

Jean Colombeau

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Integrable Systems, Quantum Groups, and Quantum Field Theories

Alberto Ibort

1993

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On Nonlinear Quantum Mechanics, Brownian Motion, Weyl Geometry and Fisher Information

jorge mahecha

Quantization in Astrophysics, Brownian …, 2007

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A Solvable Model of a Nonlinear extension of Quantum Mechanics

Alan Chodos

arXiv (Cornell University), 2022

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Nonlinear gauge interactions: A possible solution to the "measurement problem" in quantum mechanics

Johan Hansson

2010

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Nonlinear Generalisation of Quantum Mechanics

Alireza Jamali

2021

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Nonlinear Dirac equations and nonlinear gauge transformations

R. Zhdanov

2003

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Nonlinear and Noncommutative Mathematics: New Developments and Applications in Quantum Physics

Norbert Hounkonnou

Advances in Mathematical Physics, 2010

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On the linearity of the Schrödinger equation

Iwo Białynicki-Birula

Brazilian Journal of Physics, 2005

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On the phase space description of quantum nonlinear dynamics

N. Atakishiyev

Physics Letters A, 1996

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Symmetry in quantum mechanics through group theory and its representations (Theoretical Physics mini-project II)

Rahul K . Dass

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On gauge transformations of Bäcklund type and higher order nonlinear Schrödinger equations

Gerald Goldin

Journal of Mathematical Physics, 2002

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Soliton dynamics and nonlinear quantum mechanics

Alessandro Pascolini

Lettere Al Nuovo Cimento Series 2, 1980

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A Gauge Theory of Quantum Mechanics

Maurice de Gosson

Modern Physics Letters A, 2007

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A Manifestly Gauge-Invariant Approach to Quantum Theories of Gauge Fields

Abhay Ashtekar, Jose Mourao

1994

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Classical and Quantum Theory with a New Symmetry

Partha Ghose

arXiv (Cornell University), 2009

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Nonlinearity and constrained quantum motion

Lane Hughston

Journal of Physics A: Mathematical and Theoretical, 2010

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Classical Mechanics as Nonlinear Quantum Mechanics

Hrvoje Nikolic

AIP Conference Proceedings, 2007

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On a special picture of dynamical evolution of nonlinear quantum systems in the phase-space representation

Serguei Maximov

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Geometrical and algebraic aspects of nonlinear field theory : proceedings of the Meeting on Geometrical and Algebraic Aspects of Nonlinear Field Theory, Amalfi, Italy, May 23-28, 1988

Giuseppe Marmo

1989

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