MOMENTUM AND HAMILTONIAN IN COMPLEX ACTION THEORY

DOI10.1142/S0217751X12500765zbMath1247.81139arXiv1105.1294OpenAlexW2962763431MaRDI QIDQ2919240

Keiichi Nagao, Holger Bech Nielsen

Publication date: 2 October 2012

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1294

zbMATH Keywords

path integralcomplex actioncomplex coordinate

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Momentum maps; symplectic reduction (53D20) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• Complexified path integrals and the phases of quantum field theory
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
• Supersymmetry and the spontaneous breakdown of 𝒫𝒯 symmetry
• Complex Extension of Quantum Mechanics
• Formulation of Complex Action Theory
• Automatic Hermiticity
• INTRINSIC PERIODICITY OF TIME AND NONMAXIMAL ENTROPY OF UNIVERSE
• NONEXISTENCE OF IRREVERSIBLE PROCESSES IN COMPACT SPACE–TIME
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• 𝓟𝓣-symmetric quantum mechanics
• Unification of Cosmology and the Second Law of Thermodynamics: -- Proposal for Solving the Cosmological Constant and Inflation Problems --
• Time evolution of non-Hermitian Hamiltonian systems
• The ODE/IM correspondence