What question did this study set out to answer?

To develop a quantum-mechanical calculation method for image potentials with dynamic corrections that applies to light particles bound in surface states.

June 21, 1975Journal of Physics C Solid State PhysicsOpen Access

Harris and Jones image-potential formalism for a quantum particle. Application to surface states

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To develop a quantum-mechanical calculation method for image potentials with dynamic corrections that applies to light particles bound in surface states.
Expanded the self-energy operator, evaluated in the random phase approximation (RPA), in powers of the momentum operator.
Incorporated self-energy insertions self-consistently into the particle propagator entering the RPA self-energy diagram without relying on incident plane-wave approximations.
Derived a fully quantum-mechanical generalization of the Harris-Jones formalism for dynamic corrections to image potentials.
Established a functional framework for bound states where plane-wave approximations fail, specifically addressing positrons trapped at metal surfaces or interior voids.

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Implication

Theoretical derivation demonstrates dynamic image-potential corrections for surface-trapped quantum particles, enabling accurate modeling of positrons bound at metal surfaces.

Cite This Study

C.H. Hodges (1975) studied this question.

synapsesocial.com/papers/6a84ff2d39166d68e0e58d72 https://doi.org/10.1088/0022-3719/8/12/010

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Implication

Theoretical derivation demonstrates dynamic image-potential corrections for surface-trapped quantum particles, enabling accurate modeling of positrons bound at metal surfaces.

Harris and Jones image-potential formalism for a quantum particle. Application to surface states

Key Points

Discussion

Implication

Cite This Study

Harris and Jones image-potential formalism for a quantum particle. Application to surface states

Key Points

Discussion

Implication

Cite This Study

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