000			03797nam a22005175i 4500
001			978-1-4020-5169-2
003			DE-He213
005			20161121231042.0
007			cr nn 008mamaa
008			100301s2007 ne | s |||| 0|eng d
020			_a9781402051692 _9978-1-4020-5169-2
024	7		_a10.1007/1-4020-5169-7 _2doi
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
082	0	4	_a530.1 _223
100	1		_aCordes, Heinz Otto. _eauthor.
245	1	0	_aPrecisely Predictable Dirac Observables _h[electronic resource] / _cby Heinz Otto Cordes.
264		1	_aDordrecht : _bSpringer Netherlands, _c2007.
300			_aXIX, 269 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aFundamental Theories of Physics ; _v154
505	0		_aDirac Observables and ?do-s -- Why Should Observables be Pseudodifferential? -- Decoupling with ?do-s -- Smooth Pseudodifferential Heisenberg Representation -- The Algebra of Precisely Predictable Observables -- Lorentz Covariance of Precise Predictability -- Spectral Theory of Precisely Predictable Approximations -- Dirac and Schrödinger Equations; a Comparison.
520			_aThis work presents a "Clean Quantum Theory of the Electron", based on Dirac’s equation. "Clean" in the sense of a complete mathematical explanation of the well known paradoxes of Dirac’s theory, and a connection to classical theory, including the motion of a magnetic moment (spin) in the given field, all for a charged particle (of spin ½) moving in a given electromagnetic field. This theory is relativistically covariant, and it may be regarded as a mathematically consistent quantum-mechanical generalization of the classical motion of such a particle, à la Newton and Einstein. Normally, our fields are time-independent, but also discussed is the time-dependent case, where slightly different features prevail. A "Schroedinger particle", such as a light quantum, experiences a very different (time-dependent) "Precise Predictablity of Observables". An attempt is made to compare both cases. There is not the Heisenberg uncertainty of location and momentum; rather, location alone possesses a built-in uncertainty of measurement. Mathematically, our tools consist of the study of a pseudo-differential operator (i.e. an "observable") under conjugation with the Dirac propagator: such an operator has a "symbol" approximately propagating along classical orbits, while taking its "spin" along. This is correct only if the operator is "precisely predictable", that is, it must approximately commute with the Dirac Hamiltonian, and, in a sense, will preserve the subspaces of electronic and positronic states of the underlying Hilbert space. Audience: Theoretical Physicists, specifically in Quantum Mechanics. Mathematicians, in the fields of Analysis, Spectral Theory of Self-adjoint differential operators, and Elementary Theory of Pseudo-Differential Operators.
650		0	_aPhysics.
650		0	_aQuantum physics.
650		0	_aMechanics.
650		0	_aQuantum computers.
650		0	_aSpintronics.
650	1	4	_aPhysics.
650	2	4	_aTheoretical, Mathematical and Computational Physics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aQuantum Physics.
650	2	4	_aQuantum Information Technology, Spintronics.
650	2	4	_aMechanics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781402051685
830		0	_aFundamental Theories of Physics ; _v154
856	4	0	_uhttp://dx.doi.org/10.1007/1-4020-5169-7
912			_aZDB-2-PHA
950			_aPhysics and Astronomy (Springer-11651)
999			_c507840 _d507840