The Dirac equation and its solutions

The Dirac equation and its solutions

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Bibliographic Details
Main Author: Bagrov, Vladislav G.
Corporate Author: Ebooks Corporation
Format: Electronic eBook
Language:English
Published: Berlin : De Gruyter, [2014]
Series:De Gruyter studies in mathematical physics ; v. 4.
Subjects:
Dirac equation.
Quantum field theory.
Wave equation.
Online Access:Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)

MARC

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100 1 |a Bagrov, Vladislav G. 
245 1 4 |a The Dirac equation and its solutions  |h [electronic resource] /  |c Vladislav G. Bagrov, Dmitry Gitman. 
260 |a Berlin :  |b De Gruyter,  |c [2014] 
300 |a 1 online resource (xi, 430 pages.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a De Gruyter studies in mathematical physics ;  |v v. 4 
504 |a Includes bibliographical references and index. 
505 0 0 |a Machine generated contents note:   |g 1.1.  |t Book content --   |g 1.2.  |t Notation --   |g 2.1.  |t Classical equations --   |g 2.1.1.  |t Maxwell equations --   |g 2.1.2.  |t Equations of motion for a charge in an electromagnetic field --   |g 2.1.3.  |t Hamilton-Jacobi equation --   |g 2.2.  |t K-G equation --   |g 2.2.1.  |t General --   |g 2.2.2.  |t Evolution function and completeness relations --   |g 2.2.3.  |t Hamiltonian forms of the K-G equation --   |g 2.3.  |t Dirac equation --   |g 2.3.1.  |t General --   |g 2.3.2.  |t Evolution function and completeness relation --   |g 2.3.3.  |t Reducing Dirac equation into two independent sets of second-order equations for spinors --   |g 2.3.4.  |t Reducing Dirac equation into two independent sets of fourth-order equations for scalar functions --   |g 2.3.5.  |t Squaring the Dirac equation --   |g 2.4.  |t Spin operators --   |g 3.1.  |t Free particle motion --   |g 3.1.1.  |t Classical motion --   |g 3.1.2.  |t States with a given momentum --   |g 3.1.3.  |t Positive and negative frequency solutions --   |g 3.1.4.  |t Light-cone variables and coherent states --   |g 3.1.5.  |t States with given angular momentum projection --   |g 3.2.  |t Particles in plane-wave field --   |g 3.2.1.  |t Plane-wave electromagnetic field --   |g 3.2.2.  |t Classical motion in the plane-wave field --   |g 3.2.3.  |t Quantum motion in plane-wave field --   |g 3.3.  |t Particles in BGY field --   |g 3.3.1.  |t BGY field --   |g 3.3.2.  |t Classical motion in a BGY field --   |g 3.3.3.  |t Quantum motion in a BGY field --   |g 3.4.  |t Particle[—]s in a constant and uniform magnetic field --   |g 3.4.1.  |t Introduction --   |g 3.4.2.  |t Page's and Rabi's solutions --   |g 3.4.3.  |t Creation and annihilation operators --   |g 3.4.4.  |t Stationary states --   |g 3.4.5.  |t Orthonormality and completeness of stationary states --   |g 3.4.6.  |t Coherent states --   |g 3.4.7.  |t Zero magnetic field limit --   |g 3.4.8.  |t Some other types of nonstationary states --   |g 3.5.  |t Particles in spherically symmetric fields --   |g 3.5.1.  |t General --   |g 3.5.2.  |t Separation of variables in K[—]G and Dirac equations --   |g 3.5.3.  |t Specification of potentials and complete classical solution --   |g 3.5.4.  |t Azimuthal motion --   |g 3.5.5.  |t Radial motion --   |g 3.6.  |t Particles in the Aharonov[—]Bohm field and in its superpositions with other fields --   |g 3.6.1.  |t Introduction --   |g 3.6.2.  |t Aharonov[—]Bohm field --   |g 3.6.3.  |t Magnetic-solenoid field --   |g 3.6.4.  |t Quasicoherent states in the magnetic-solenoid field --   |g 3.6.5.  |t Aharonov[—]Bohm field and additional electromagnetic fields --   |g 4.1.  |t Introduction --   |g 4.2.  |t Crossed electromagnetic fields --   |g 4.2.1.  |t General --   |g 4.2.2.  |t Stationary crossed fields --   |g 4.2.3.  |t Nonstationary crossed fields --   |g 4.3.  |t Longitudinal electromagnetic fields --   |g 4.3.1.  |t General --   |g 4.3.2.  |t Longitudinal motion in the electric field --   |g 4.3.3.  |t Transversal motion in the magnetic field --   |g 4.4.  |t Superposition of crossed and longitudinal fields --   |g 4.4.1.  |t General --   |g 4.4.2.  |t Crossed and longitudinal electric field --   |g 4.4.3.  |t Crossed and longitudinal electric and magnetic fields --   |g 4.5.  |t Fields of nonstandard structure --   |g 5.1.  |t Introduction --   |g 5.2.  |t Constant and uniform magnetic field --   |g 5.3.  |t Plane-wave field --   |g 5.4.  |t Superposition of a plane-wave field and a parallel electric field --   |g 6.1.  |t Introduction --   |g 6.2.  |t Proper-time representations for particle propagators --   |g 6.2.1.  |t General --   |g 6.2.2.  |t Proper-time representations in a constant uniform field and a plane wave field --   |g 6.3.  |t Path-integrals for particle propagators --   |g 6.3.1.  |t Path integral for K-G propagator --   |g 6.3.2.  |t Path integral for the Dirac propagator in even dimensions --   |g 6.3.3.  |t Path integral for the Dirac propagator in odd dimensions --   |g 6.3.4.  |t Classical and pseudoclassical description of relativistic particles --   |g 6.4.  |t Calculations of Dirac propagators using path integrals --   |g 6.4.1.  |t Spin factor in 3 + 1 dimensions --   |g 6.4.2.  |t Propagator in the constant uniform electromagnetic field --   |g 6.4.3.  |t Propagator in a constant uniform field and a plane wave field --   |g 6.4.4.  |t Propagator in a constant uniform field in 2 + 1 dimensions --   |g 7.1.  |t Dirac equation with quantized plane wave --   |g 7.1.1.  |t General --   |g 7.1.2.  |t Separation of variables --   |g 7.2.  |t Quantized monochromatic plane wave with arbitrary polarization --   |g 7.3.  |t Quantized plane wave of general form --   |g 7.4.  |t Canonical forms for Hamiltonian of quasiphotons --   |g 7.5.  |t Stationary and coherent states --   |g 7.5.1.  |t Stationary states --   |g 7.5.2.  |t Relations of orthogonality, normalization and completeness --   |g 7.6.  |t Reduction to Volkov solutions --   |g 7.7.  |t Electron interacting with quantized plane-wave and with external electromagnetic background --   |g 7.7.1.  |t Classical plane wave along the quantized field --   |g 7.7.2.  |t Classical magnetic field directed along the quantized plane wave --   |g 7.8.  |t Linear and quadratic combinations of creation and annihilation operators --   |g 7.8.1.  |t Linear combinations --   |g 7.8.2.  |t Quadratic combinations --   |g 8.1.  |t Introduction --   |g 8.2.  |t Associated equations --   |g 8.2.1.  |t Associated Schrödinger equations --   |g 8.2.2.  |t Dirac-like equation --   |g 8.2.3.  |t Rigid rotator equation --   |g 8.3.  |t Some properties of the spin equation --   |g 8.3.1.  |t inverse problem --   |g 8.3.2.  |t General solution --   |g 8.3.3.  |t Stationary solutions --   |g 8.3.4.  |t Reduction of the external field --   |g 8.3.5.  |t Transformation matrix --   |g 8.3.6.  |t Evolution operator --   |g 8.4.  |t Self-adjoint spin equation --   |g 8.4.1.  |t General solution and inverse problem --   |g 8.4.2.  |t Hamiltonian and Lagrangian forms of self-adjoint spin equation --   |g 8.5.  |t Exact solutions of spin equation --   |g 8.6.  |t Darboux transformation for spin equation --   |g 9.1.  |t ESP I: V(x) = cx --   |g 9.2.  |t ESP II: V(x) = V1x2 + V2x --   |g 9.3.  |t ESP III: V(x) = =V1/x + V2/x2 --   |g 9.4.  |t ESP IV: V(x) = V1/x2 + V2x2 --   |g 9.5.  |t ESP V: V(x) = V1e-2cx + V2e-cx --   |g 9.6.  |t ESP VI:: V(x) = V1/sin2cx + V2/cos2cx --   |g 9.7.  |t ESP VII: V(x) = V1tan2 cx + V2tan cx --   |g 9.8.  |t ESP VIII: V(x) = V1 tanh2 cx + V2 tanh cx --   |g 9.9.  |t ESP IX: V(x) = V1 coth2cx + V2 coth cx --   |g 9.10.  |t ESP X: V(x) = (V1 + V2 cosh 2x)/(sinh2 2x) --   |g 9.11.  |t ESP XI: V(x) = (V1 + V2 sinh cx)/(cosh2 cx) --   |g 10.1.  |t Introduction --   |g 10.2.  |t Coherent states of the Heisenberg-Weyl group --   |g 10.2.1.  |t HW algebra and HW group --   |g 10.2.2.  |t CS of the HW group and Glauber CS --   |g 10.2.3.  |t Heisenberg uncertainty relation and CS --   |g 10.2.4.  |t Schrödinger[—]Glauber CS of a harmonic oscillator --   |g 10.3.  |t Coherent states for systems with quadratic Hamiltonians --   |g 10.3.1.  |t Basic equations --   |g 10.3.2.  |t Integrals of motion linear in canonical operators q and P --   |g 10.3.3.  |t Time dependent generalized CS --   |g 10.3.4.  |t Standard deviations and uncertainty relations --   |g 10.3.5.  |t Simple examples --   |g A.1.  |t Pauli matrices --   |g A.1.1.  |t General properties --   |g A.1.2.  |t Vectors and spinors associated with Pauli matrices --   |g A.1.3.  |t Eigenvalue problem in space of complex spinors --   |g A.1.4.  |t Calculations of matrix elements --   |g A.2.  |t Dirac gamma-matrices --   |g A.2.1.  |t General properties --   |g A.2.2.  |t Gamma-matrix structure of the Lorentz transformation --   |g B.1.  |t Laguerre functions --   |g B.2.  |t Hermite polynomials and Hermite functions. 
533 |a Electronic reproduction.  |b Perth, W.A.  |n Available via World Wide Web. 
588 |a Description based on print version record. 
650 0 |a Dirac equation. 
650 0 |a Quantum field theory. 
650 0 |a Wave equation. 
710 2 |a Ebooks Corporation 
776 0 |z 9783110263299 
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776 0 |z 9783119163781 
776 0 |w (GyWOH)har140246615 
776 0 8 |c Original  |z 9783110262926  |z 3110262924 
830 0 |a De Gruyter studies in mathematical physics ;  |v v. 4. 
856 4 0 |u https://ebookcentral.proquest.com/lib/santaclara/detail.action?docID=1113310  |z Connect to this title online (unlimited simultaneous users allowed; 325 uses per year)  |t 1 
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919 |a .ulebk  |b 2014-10-15 
915 |a YBP DDA - Also in ProQuest Academic Complete 
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