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Elsevier eBooks

The Interactions of Matter with Light II Quantum Mechanical Aspects

Walter Kauzmann

Published Jan 1, 1957• 46 citations
Publisher
DOI
10.1016/b978-1-4832-2745-0.50020-2

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Light-Matter Interactions

Davıd L. Andrews, David S. Bradshaw

5.1 Foundations Up until now, we have only considered light propagating essentially in vacuum; this has been used as the basis to describe the effects of reflection, refraction, and transmission in a medium. These essentially passive phenomena, alone, serve as a reminder that nothing is achieved with light, or learned about it, without material interaction. However, a more extensive realm of science centers upon light actively coupling with matter - and many of the systems, in which the photonic aspects of light are most clearly manifest, concern matter in the form of atoms, molecules, or nanoparticles. A quantum analysis of light–matter interactions typically begins with the system Hamiltonian H, the energy operator of the system. In basic quantum mechanics, the "system" simply comprises matter, and the state wavefunctions are secured as eigenstates of the corresponding Hamiltonian Hmat. A quantum formulation of the radiation requires the additional inclusion of a radiation Hamiltonian Hrad. Here, it becomes appropriate to use the representation of quantum electrodynamics (QED): however, because the charges that comprise matter move at significantly sub-luminal speeds in almost all optics and photonics applications, the full relativistic form of QED is unnecessary. To complete the full Hamiltonian for systems in which light and matter are not isolated from each other, an interaction Hamiltonian Hint is also required. The system Hamiltonian can thus be decomposed into three parts: [41]

SPIE eBooks•Aug 1, 2018•0 citations

Towards a Theory of Everything Part II: Introduction of Consciousness in Schrödinger equation and Standard Model

Ram Lakhan Pandey Vimal

Theory of everything must include consciousness. In Part I (Vimal, 2010b) of this series of 3 articles, the subjective experience (SE) aspect of consciousness was introduced in classical physics by examining the invariance of various components of theories under PE-SE transformations, where PEs (proto-experiences) are precursors of SEs. We found that (i) classical physics is invariant under the PE-SE transformation, (ii) SEs are embedded in spacetime geometry for the structure of spacetime in superposed form, (iii) SEs can move with spatiotemporal coordinates of matter for matter field because both mental and material aspects are always together in the dual-aspect-dual-mode optimal PE-SE framework, and (iv) our specific SE is the result of matching and selection processes and can change with space and time. For example, experiencing redness has neural correlates of V4/V8/VO-red-green neural-net with redness state. When a subject moves, the specific SE redness also moves with the subject’s correlated neural-net. In the current Part II, the SE aspect of consciousness is introduced in orthodox quantum physics by examining its invariance under the PE-SE transformations. We found that the followings are invariant under the PE-SE transformations: Schrodinger equation, current, Dirac Lagrangian, the Lagrangian for a charged self-interacting scalar field, and Standard Model (the Lagrangian for free gauge field and Lagrangian for the electromagnetic interaction of a charged scalar field (Higgs Mechanism)). In Part III (Vimal, 2010c), the SE aspect of consciousness will be introduced to unify it with fundamental forces in loop quantum gravity and string theory of modern quantum physics. All parts together lead us towards the theory of everything.

NeuroQuantology•Apr 9, 2010•7 citations
5.1 Foundations Up until now, we have only considered light propagating essentially in vacuum; this has been used as the basis to describe the effects of reflection, refraction, and transmission in a medium. These essentially passive phenomena, alone, serve as a reminder that nothing is achieved with light, or learned about it, without material interaction. However, a more extensive realm of science centers upon light actively coupling with matter - and many of the systems, in which the photonic aspects of light are most clearly manifest, concern matter in the form of atoms, molecules, or nanoparticles. A quantum analysis of light–matter interactions typically begins with the system Hamiltonian H, the energy operator of the system. In basic quantum mechanics, the "system" simply comprises matter, and the state wavefunctions are secured as eigenstates of the corresponding Hamiltonian Hmat. A quantum formulation of the radiation requires the additional inclusion of a radiation Hamiltonian Hrad. Here, it becomes appropriate to use the representation of quantum electrodynamics (QED): however, because the charges that comprise matter move at significantly sub-luminal speeds in almost all optics and photonics applications, the full relativistic form of QED is unnecessary. To complete the full Hamiltonian for systems in which light and matter are not isolated from each other, an interaction Hamiltonian Hint is also required. The system Hamiltonian can thus be decomposed into three parts: [41]
Theory of everything must include consciousness. In Part I (Vimal, 2010b) of this series of 3 articles, the subjective experience (SE) aspect of consciousness was introduced in classical physics by examining the invariance of various components of theories under PE-SE transformations, where PEs (proto-experiences) are precursors of SEs. We found that (i) classical physics is invariant under the PE-SE transformation, (ii) SEs are embedded in spacetime geometry for the structure of spacetime in superposed form, (iii) SEs can move with spatiotemporal coordinates of matter for matter field because both mental and material aspects are always together in the dual-aspect-dual-mode optimal PE-SE framework, and (iv) our specific SE is the result of matching and selection processes and can change with space and time. For example, experiencing redness has neural correlates of V4/V8/VO-red-green neural-net with redness state. When a subject moves, the specific SE redness also moves with the subject’s correlated neural-net. In the current Part II, the SE aspect of consciousness is introduced in orthodox quantum physics by examining its invariance under the PE-SE transformations. We found that the followings are invariant under the PE-SE transformations: Schrodinger equation, current, Dirac Lagrangian, the Lagrangian for a charged self-interacting scalar field, and Standard Model (the Lagrangian for free gauge field and Lagrangian for the electromagnetic interaction of a charged scalar field (Higgs Mechanism)). In Part III (Vimal, 2010c), the SE aspect of consciousness will be introduced to unify it with fundamental forces in loop quantum gravity and string theory of modern quantum physics. All parts together lead us towards the theory of everything.