Relativistic Quantum Mechanics  

Quantum Mechanics and Special Relativity > s.a. Bethe-Salpeter Equation; causality; quantum effects, formalism, types of states.
* Hardy's theorem: The hidden variables of any realistic theory of quantum measurement, whose predictions agree with ordinary quantum theory, must have a preferred Lorentz frame.
* Shimony's peaceful coexistence: Bell's theorem suggests that quantum physics is fundamentally non-local; Yet, entanglement cannot be used for practical non-local signalling; This amounts to a peculiar "conspiracy" in the laws of physics.
* Semi-relativistic form: The wave equation is the Salpeter equation, and the Hamiltonian is of the form

H = (m2 + p2)1/2 + V(r) .

@ Reviews, books: Bjorken & Drell 64; Bethe & Jackiw 68; Fanchi AJP(81) [review and critique]; RLandau 96; Strange 98 [including condensed matter]; Capri 02; Strocchi FP(04) [and quantum field theory]; Fanchi FP(05) [introduction]; Pilkuhn 05; De Sanctis a0708 [and Dirac equation].
@ Quantum mechanics and Poincaré invariance: Dieks & Nienhuis AJP(90); Cohen & Hiley FP(96); Berg qp/98 [and measurement]; Percival PLA(98)qp, qp/99 [measurement]; Stefanovich FP(02); Kim & Noz qp/03-in [oscillator]; Stuckey et al qp/05/PE ["Relational Blockworld"].
@ General references: Dirac RMP(49); Dutheil & Lochak AFLB(91); Caban & Rembielinski PRA(99)qp/98 [preferred frame]; Mattes & Sorg JPA(99) [two particles]; Treumann PS(02); Semenov qp/02-PhD [phase space formulation]; Gill & Zachary JMP(02) [Feynman's operator calculus]; Mangiarotti & Sardanashvily JMP(07)qp [different reference frames]; Shapiro JPA-a0802 [proper-time evolution equation]; Krotov a0804.
@ Phenomenology: Khachidze & Khelashvili AJP(06) [Coulomb problem, additional symmetries and conserved quantities]; Beck et al a0704 [positronium ground state]; > s.a. oscillators.
@ Realism and Lorentz invariance: Comborieu & Vigier PLA(93) [Lorentz invariance and realism ok]; > s.a. realism.
@ Interpretation: Cosgrove gq/96 [single-particle]; Horton & Dewdney qp/01 [non-local hidden variables]; Nikolic IJMPA(07)qp/06 [probabilities and spacetime foliations]; > s.a. quantum foundations.
@ Semi-relativistic quantum mechanics: Hall & Lucha JPA(05) [eigenvalues]; Hall JPA(06) [non-local potentials].
@ EPR paradox: Ghose & Home PRA(91); Zbinden et al PRA(01); Tiwari PRA(02)qp/01; Kim & Son PRA(05)qp/04 [Lorentz-invariant]; O'Hara qp/06.
@ Related topics: Greenberger PRL(01) [non-relativistic limit]; Beck & Sorg FP(07) [2- and 3-particle systems]: > s.a. Galilean Group.

Variations and Related Topics > s.a. fractals [paths]; hidden variables; quantum effects [arrival time]; tachyons.
@ Salpeter equation: Hall et al IJMPA(03)ht/02 [discrete spectra].
@ Parametrized relativistic qquantum theory: Fanchi FP(01) [implements non-locality].
@ Causal: Roy & Singh MPLA(95)hp/94; Kent PRA(05)qp/02.
@ In different reference frames: Mashhoon ht/05-in [accelerated frames]; Mangiarotti & Sardanashvily JMP(07) [formalism].
@ Spacetime versions: Hartle in(98)gq/97, in(98)gq [generalized quantum mechanics]; Rudolph PRA(99)mp/98; Anastopoulos JMP(01)qp/00, FP(01)qp/00 [histories-based]; Reisenberger & Rovelli PRD(02)gq/01; Marolf & Rovelli PRD(02)gq [measurement]; Krasnoholovets qp/02-in; Hartle gq/05-in; Corbett & Durt qp/05; Alba IJMPA(06) [non-inertial frames]; Olson & Dowling a0708 [unitarity, realism]; > s.a. histories quantum mechanics.
@ Other topics: García Álvarez & Gaioli IJTP(97)ht/98 [based on de Sitter group]; Habara et al IJMPA(06)ht/05 [supersymmetric, relativistic]; Elze a0704-in [non-linear, relativistic]; > s.a. phase space formulation.

And Curved Spaces, Covariance, and Gravity > s.a. causality violations; newton-cartan; quantum spacetime; theta; uncertainty.
* Remark: In curved spacetime there is no momentum representation because in that case the conjugate variables would not commute and could not be represented by derivative operators.
@ Curved configuration space: Argyres et al JPA(89) [2D, negative curvature]; Foerster et al PLA(94) [as constrained system]; Tagirov IJTP(03)gq/02; Milatovic JGP(06) [separation properties]; Moschella & Schaeffer CQG(07)-a0709 [constant negative curvature]; Morchio & Strocchi LMP(07).
@ In curved spacetime: Donoghue & Holstein AJP(86) [Schwarzschild]; Audretsch & de Sabbata ed-90; Yamada & Takagi PTP(91), PTP(91); Molzahn et al AP(92); Tagirov TMP(96) [spinning non-relativistic particle], G&C(99)gq/98 [canonical], gq/00 [FRW spacetime]; de Siqueira et al ht/97 [black hole]; Moreira PRA(98)ht/97, PRA(98)ht/97 [conical singularity]; Mensky TMP(98)gq/97 [accelerated observers, Unruh effect]; Kerner JMP(99) [non-associative structure]; Vitolo LMP(00) [fiber bundle formalism]; Kleinert qp/00; Alsing et al GRG(01) [spin 0, 1/2, 1, WKB]; Yurtsever & Hockney CQG(05)gq/04 [beyond Cauchy horizons]; Grain & Barrau a0705 [semiclassical propagator]; Bakke et al JPA(08) [EPR correlations, cosmic string background]; > s.a. decoherence, pilot wave.
@ With gravity term: Marciak-Kozlowska & Kozlowski qp/04, qp/04 [and pilot waves]; Adler JPA(07)qp/06; > s.a. wave function collapse.
@ And general relativity, covariance: Mashhoon FP(86); Ho ht/95; Anandan MPLA(02)qp [(non-)locality]; Wawrzycki mp/03-in; Minic & Tze PRD(03)ht, PLB(04)ht/03; Poulin IJTP(06)qp/05 [relational]; Olson & Dowling qp/07 [information and measurement]; Aalok IJTP(07)qp, a0805 [background-independent]; Kopf & Paschke JMP(07) [non-commutative configuration spaces].
@ And quantum gravity: Bertolami PLA(91) [corrections]; Adler NPB(94)ht/93, & Wu PRD(94), et al JMP(94) [non-commutative coordinates]; Antonsen PRD(97) [Wigner functions]; Hartle IJMPA(01) [without background causal structure]; Isham qp/02; Balasubramanian et al gq/02-in [and holography]; Baez qp/04 [category language]; Hartle gq/06-in [generalized quantum mechanics].
@ Related models and topics: Mondragon et al PRD(07)-a0705 [discrete, periodic time and space model for general relativistic quantum mechanics].

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