## 137 Citations

### The Photon Wave Function

- Physics
- 2011

The properties of a wave equation for a six-component wave function of a photon are re-analyzed. It is shown that the wave equation presents all the properties required by quantum mechanics, except…

### Interpretation of the photon: wave–particle duality

- Physics
- 2012

A simple model is provided to obtain the space–time probability-distribution function of a photon emitted without recoil by an excited system (atom, nucleus, …) in one dimension. A three-dimensional…

### Photon wave functions, wave-packet quantization of light, and coherence theory

- Physics
- 2007

The monochromatic Dirac and polychromatic Titulaer–Glauber quantized field theories (QFTs) of electromagnetism are derived from a photon-energy wave function in much the same way that one derives QFT…

### Photon states from propagating complex electromagnetic fields

- Physics
- 2007

A wave function for single- and many-photon states is defined by associating photons with different momenta with different spectral and polarization components of the classical, generally complex,…

### Wave Function of a Photon and the Appropriate Lagrangian

- Physics
- 2012

In electromagnetic theory, Maxwell's equations are usually regarded as classical ones, but they can be rewritten to have a form like the Dirac equation in relativistic quantum mechanics. We show…

### Hamilton–Jacobi approach to photon wave mechanics: near‐field aspects

- PhysicsJournal of microscopy
- 2008

The Hamilton–Jacobi theory of classical point‐particle mechanics is reviewed, and an eikonal theory for free photons is established, and it appears that the ekonal condition contains complicated space integrals of the gradient of the eIKonal over volumes of near‐field domain size.

### Vacuum source-field correlations and advanced waves in quantum optics

- Physics
- 2017

The solution to the wave equation as a Cauchy problem with prescribed fields at an initial time t=0 is purely retarded. Similarly, in the quantum theory of radiation the specification of Heisenberg…

### Lorentz covariance of optical Dirac equation and spinorial photon field

- PhysicsNew Journal of Physics
- 2021

In a recent paper (2014 New J. Phys. 16 093008) Barnett discussed the so-called optical Dirac equation and referred to the involved wave function as a spinor. But as he claimed explicitly, he did not…

### Quantized Vector Potential and the Photon Wave-function

- Physics
- 2017

The vector potential function α→kλ(r→,t) for a k-mode and λ-polarization photon, with the quantized amplitude α0k(ωk) = ξωk, satisfies the classical wave propagation equation as well as the…

## References

SHOWING 1-10 OF 83 REFERENCES

### On the Wave Function of the Photon

- Physics
- 1994

It is believed that certain matrix elements of the electromagnetic field operators in quantum electrodynamics, in close analogy with nonrelativistic quantum theory of massive particles, may be…

### Photon wave functions and the exact electromagnetic matrix elements for hydrogenic atoms

- Physics
- 1973

After reviewing th eproperties of the photon considered as a quantized particle of zero mass, positive energy, and unit spin, the expansion of the unquantized and quantized electromagnetic fields and…

### PARTICLE ASPECT OF THE ELECTROMAGNETIC FIELD EQUATIONS

- Physics
- 1957

In this paper it is shown that Maxwell's theory of the electromagnetic field in vacuum can be stated in a form closely parallel to Dirac's theory of the electron. The electromagnetic field is…

### Phase-space structure of the Dirac vacuum.

- PhysicsPhysical review. D, Particles and fields
- 1991

The phase-space correlation function for the Dirac vacuum in the presence of simple field configurations is studied and a closed system of integro-differential equations is obtained neglecting the quantum fluctuations of the electromagnetic field as should be appropriate for strong fields.

### Group Theoretical Discussion of Relativistic Wave Equations.

- PhysicsProceedings of the National Academy of Sciences of the United States of America
- 1948

1 — The wave functions, ψ, describing the possible states of a quantum mechanical system form a linear vector space V which, in general,. is infinite dimensional and on which a positive definite…

### Quantum theory of radiative transfer

- Physics
- 1981

Stemming from the classic work of Planck, classical radiative transfer theory works with pencils of light rays streaming in straight lines in any homogeneous medium. But light is described by…

### 80 Years of Professor Wigner's Seminal Work "On Unitary Representations of the Inhomogeneous Lorentz Group"

- Physics
- 1939

It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally…

### Quantum Electrodynamics

- PhysicsNature
- 1947

THE subject of quantum electrodynamics is extremely difficult, even for the case of a single electron. The usual method of solving the corresponding wave equation leads to divergent integrals. To…

### Evolution of the modern photon

- Physics
- 1989

The term ‘‘photon’’ represents at least four distinct models and carries different connotations for students and for practicing physicists. This reflects the long and complex historical evolution of…

### Quantum electrodynamics of intense photon beams. New approximation method

- Physics
- 1976

We develop a new approximation method for determining resonance properties of atomic systems interacting with intense photon beams. This method, based on an improved iteration procedure, leads to…