On the principles of elementary quantum mechanics

1946/10/01 by H.J. Groenewold · 38 citations
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #Quantum Mechanics and Applications #Relativity and Gravitational Theory

paper · doi:10.1016/s0031-8914(46)80059-4

crossref issued 1946/10/01 · crossref published 1946/10/01 · crossref published-print 1946/10/01 · openalex publication_date 1946/10/01 · crossref created 2005/04/07 · crossref deposited 2019/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03 · crossref indexed 2026/08/04

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Discussion of Probability Relations between Separated Systems
• Quantenmechanik und Gruppentheorie
• Die gegenw�rtige Situation in der Quantenmechanik
• Can Quantum-Mechanical Description of Physical Reality be Considered Complete?
• On the Quantum Correction For Thermodynamic Equilibrium

Cited by

• Imprints of the Quantum World in Classical Mechanics
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. II. Quantum Mechanics in Phase Space
• Star products, duality and double Lie algebras
• Between classical and quantum
• Position-dependent noncommutative products: Classical construction and field theory
• Dynamical Noncommutativity and Noether Theorem in Twisted φ^{⋆ 4} Theory
• On the relation between geometric and deformation quantization
• Charge conservation and the equivalence principle in noncommutative spacetime
• Classical and quantum mechanics of the damped harmonic oscillator
• General structure of the photon self-energy in noncommutative QED
• Conformal covariantization of Moyal-Lax operators
• Magnetic fields in noncommutative quantum mechanics
• Distribution functions in physics: Fundamentals
• Non-commutative Ward's conjecture and integrable systems
• Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology
• Foundations and applications of quantum kinetic theory
• Spin dynamics with non-Abelian Berry gauge fields as a semiclassical constrained Hamiltonian system
• Generating all Wigner functions
• Deformation quantization of superintegrable systems and Nambu mechanics
• Born series and unitarity in noncommutative quantum mechanics
• Emergent Abelian Gauge Fields from Noncommutative Gravity
• Wigner–Weyl isomorphism for quantum mechanics on Lie groups
• Quantization on a two-dimensional phase space with a constant curvature tensor
• NORMALIZED WEYL-TYPE ⋆-PRODUCT ON KÄHLER MANIFOLDS
• Noncommutative field theory from twisted Fock space
• The noncommutative degenerate electron gas
• Deformed conformal and super-Poincaré symmetries in the non- (anti-) commutative spaces
• DEFORMATION QUANTIZATION OF RELATIVISTIC PARTICLES IN ELECTROMAGNETIC FIELDS
• Quasi-Hermitian quantum mechanics in phase space
• The Seiberg-Witten map for a time-dependent background
• Star products: a group-theoretical point of view
• Wigner trajectory characteristics in phase space and field theory
• Canonical commutation relation [wikipedia]
• Canonical quantization [wikipedia]
• Geometric quantization [wikipedia]
• Hermite polynomials [wikipedia]
• Hilbrand J. Groenewold [wikipedia]
• Quantization (physics) [wikipedia]