arXiv:quant-ph/9712007

Fabrication of Magnetic Charge From Excited States of H-atom

T. Pradhan

Published Dec 3, 1997• 0 citations

Abstract

It is shown that the excited states of hydrogen atom in a uniform electric field (Stark States) posess magnetic charge whose magnitude is given by a Dirac-Saha type relation: $$ {eg\over \hbar c} = \sqrt 3 n $$ An experiment is proposed to fabricate such states and to detect their magnetic charge.

DOI: 10.48550/arxiv.quant-ph/9712007

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Magnetic Charge of the Stark States of Hydrogen Atoms

T. Pradhan

It is conjectured that Stark states of excited hydrogen atom posses magnetic charge for which the quantum mechanical operator is $${\cal G}_{op} = {e\over \hbar} (\vecσ\cdot\vec A)$$ where $\vec A$ is the Runge-Lenz vector. The expectation value $g$ of this operator for Stark states is found to be $$ g = e(n_1-n_2)$$ which obeys a Dirac-Saha type quantization formula $${eg\over c} = (n_1-n_2)α$$ where $α$ is the fine structure constant and $n_1$ and $n_2$ are parabolic quantum numbers. An experimental arrangement is outlined to test this conjecture.

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Magneto-electric Effect and Magnetic Charge

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It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function $$ u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(θϕ) \pm R_{n,n-2}(r) Y_{n-2,\pm (n-2)}(θϕ)]$$ align themselves in the direction of an external uniform electric field which is characteristic of magneto-electric effect. These states are found to have magnetic charge $g={3n\over (n-2)e}$ on account of this effect. This result is confirmed by an independent method. An experiment is suggested to fabricate these states and detect the magnetic charge. It ma be worth noting that inspite of many experimental searchs, magnetic charge, whose existence has been theorized both in electrodynamics and non-abelian gauge theories, none have been found so far, nor there exist any suggstion as to where these are to be found.

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The hydrogen atom in electric and magnetic fields : Pauli\'s 1926 article

Galliano Valent A

Dec 2, 200214 citations

The hydrogen atom in electric and magnetic fields: Pauli’s 1926 article

Galliano Valent A

arXiv:quant-ph/0212010American Journal of PhysicsJan 10, 200320 citations

The Hydrogen Atom in the Stark Effect

Francis G. Slack

Characteristics of the hydrogen atom wave function, which show the statistical distribution of electronic charge with respect to the nucleus and electric field, are computed for the first five quantum states. The results are tabulated and are represented graphically for one state as an example. The average coordinates of the electronic charge are also computed and included in the tabulation.

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Journal of Physics B Atomic Molecular and Optical PhysicsAug 28, 19983 citations

arXiv:quant-ph/9712007

Fabrication of Magnetic Charge From Excited States of H-atom

T. Pradhan

Published Dec 3, 1997• 0 citations

arXiv HTML PDF

Abstract

It is shown that the excited states of hydrogen atom in a uniform electric field (Stark States) posess magnetic charge whose magnitude is given by a Dirac-Saha type relation:

{eg\over \hbar c} = \sqrt 3 n

An experiment is proposed to fabricate such states and to detect their magnetic charge.

DOI: 10.48550/arxiv.quant-ph/9712007

Related papers

Magnetic Charge of the Stark States of Hydrogen Atoms

T. Pradhan

It is conjectured that Stark states of excited hydrogen atom posses magnetic charge for which the quantum mechanical operator is ${\cal G}_{op} = {e\over \hbar} (\vecσ\cdot\vec A)$ where $\vec A$ is the Runge-Lenz vector. The expectation value $g$ of this operator for Stark states is found to be $g = e(n_1-n_2)$ which obeys a Dirac-Saha type quantization formula ${eg\over c} = (n_1-n_2)α$ where $α$ is the fine structure constant and $n_1$ and $n_2$ are parabolic quantum numbers. An experimental arrangement is outlined to test this conjecture.It is conjectured that Stark states of excited hydrogen atom posses magnetic charge for which the quantum mechanical operator is $${\cal G}_{op} = {e\over \hbar} (\vecσ\cdot\vec A)$$ where $\vec A$ is the Runge-Lenz vector. The expectation value $g$ of this operator for Stark states is found to be $$ g = e(n_1-n_2)$$ which obeys a Dirac-Saha type quantization formula $${eg\over c} = (n_1-n_2)α$$ where $α$ is the fine structure constant and $n_1$ and $n_2$ are parabolic quantum numbers. An experimental arrangement is outlined to test this conjecture.

arXiv:0809.4843Sep 28, 20080 citations

Magneto-electric Effect and Magnetic Charge

T. Pradhan

It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function $u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(θϕ) \pm R_{n,n-2}(r) Y_{n-2,\pm (n-2)}(θϕ)]$ align themselves in the direction of an external uniform electric field which is characteristic of magneto-electric effect. These states are found to have magnetic charge $g={3n\over (n-2)e}$ on account of this effect. This result is confirmed by an independent method. An experiment is suggested to fabricate these states and detect the magnetic charge. It ma be worth noting that inspite of many experimental searchs, magnetic charge, whose existence has been theorized both in electrodynamics and non-abelian gauge theories, none have been found so far, nor there exist any suggstion as to where these are to be found.It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function $$ u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(θϕ) \pm R_{n,n-2}(r) Y_{n-2,\pm (n-2)}(θϕ)]$$ align themselves in the direction of an external uniform electric field which is characteristic of magneto-electric effect. These states are found to have magnetic charge $g={3n\over (n-2)e}$ on account of this effect. This result is confirmed by an independent method. An experiment is suggested to fabricate these states and detect the magnetic charge. It ma be worth noting that inspite of many experimental searchs, magnetic charge, whose existence has been theorized both in electrodynamics and non-abelian gauge theories, none have been found so far, nor there exist any suggstion as to where these are to be found.

arXiv:hep-th/0312107Dec 10, 20030 citations

The hydrogen atom in electric and magnetic fields : Pauli\'s 1926 article

Galliano Valent A

The results obtained by Pauli, in his 1926 article on the hydrogen atom, made essential use of the dynamical so(4) symmetry of the bound states. Pauli used this symmetry to compute the perturbed energy levels of an hydrogen atom in a uniform electric field (Stark effect) and in uniform electric and magnetic fields. Although the experimental check of the single Stark effect on the hydrogen atom has been studied experimentally, Pauli\'s results in mixed fields have been studied only for Rydberg states of rubidium atoms in crossedfields and lithium atoms in parallel fields.The results obtained by Pauli, in his 1926 article on the hydrogen atom, made essential use of the dynamical so(4) symmetry of the bound states. Pauli used this symmetry to compute the perturbed energy levels of an hydrogen atom in a uniform electric field (Stark effect) and in uniform electric and magnetic fields. Although the experimental check of the single Stark effect on the hydrogen atom has been studied experimentally, Pauli\'s results in mixed fields have been studied only for Rydberg states of rubidium atoms in crossedfields and lithium atoms in parallel fields.

Dec 2, 200214 citations

The hydrogen atom in electric and magnetic fields: Pauli’s 1926 article

Galliano Valent A

The results obtained by Pauli in his 1926 article on the hydrogen atom made essential use of the dynamical so(4) symmetry of the bound states. Pauli used this symmetry to calculate the perturbed energy levels of an hydrogen atom in a uniform electric field (Stark effect) and in uniform electric and magnetic fields. Although the Stark effect in hydrogen has been studied experimentally, Pauli’s results in mixed fields have been studied only for Rydberg states of rubidium atoms in crossed fields and for lithium atoms in parallel fields.The results obtained by Pauli in his 1926 article on the hydrogen atom made essential use of the dynamical so(4) symmetry of the bound states. Pauli used this symmetry to calculate the perturbed energy levels of an hydrogen atom in a uniform electric field (Stark effect) and in uniform electric and magnetic fields. Although the Stark effect in hydrogen has been studied experimentally, Pauli’s results in mixed fields have been studied only for Rydberg states of rubidium atoms in crossed fields and for lithium atoms in parallel fields.

arXiv:quant-ph/0212010American Journal of PhysicsJan 10, 200320 citations

The Hydrogen Atom in the Stark Effect

Francis G. Slack

Physical ReviewMay 15, 19305 citations

Stark-induced anapole magnetic fields inn= 2 hydrogen

Robert R. Lewis, A. Góngora-T

This paper presents results for the anapole magnetic field moment due to the mixing of states with opposite parity in the n = 2 hydrogen atom in an external constant electric field. The evaluation of the current densities of the four n = 2 states is carried out to first order in the field strength. These current densities and their associated magnetic fields are expanded in multipoles, including both the ordinary poloidal and the toroidal fields. The dominant contribution to the toroidal dipole (anapole) magnetic field comes from the strong mixing of the degenerate 2S, 2P states within the n = 2 shell. A brief discussion is also presented of the electronic scattering from the anapole field of a Rydberg atom. The experimental conditions under which the atomic anapole field could be detected are critically considered, in particular, in terms of the quasi-resonant dependence of the anapole field on the applied electric field.This paper presents results for the anapole magnetic field moment due to the mixing of states with opposite parity in the n = 2 hydrogen atom in an external constant electric field. The evaluation of the current densities of the four n = 2 states is carried out to first order in the field strength. These current densities and their associated magnetic fields are expanded in multipoles, including both the ordinary poloidal and the toroidal fields. The dominant contribution to the toroidal dipole (anapole) magnetic field comes from the strong mixing of the degenerate 2S, 2P states within the n = 2 shell. A brief discussion is also presented of the electronic scattering from the anapole field of a Rydberg atom. The experimental conditions under which the atomic anapole field could be detected are critically considered, in particular, in terms of the quasi-resonant dependence of the anapole field on the applied electric field.

Journal of Physics B Atomic Molecular and Optical PhysicsAug 28, 19983 citations

It is shown that the excited states of hydrogen atom in a uniform electric field (Stark States) posess magnetic charge whose magnitude is given by a Dirac-Saha type relation:

{eg\over \hbar c} = \sqrt 3 n

An experiment is proposed to fabricate such states and to detect their magnetic charge.

It is conjectured that Stark states of excited hydrogen atom posses magnetic charge for which the quantum mechanical operator is

{\cal G}_{op} = {e\over \hbar} (\vecσ\cdot\vec A)

where

\vec A

is the Runge-Lenz vector. The expectation value

g

of this operator for Stark states is found to be

g = e(n_1-n_2)

which obeys a Dirac-Saha type quantization formula

{eg\over c} = (n_1-n_2)α

where

α

is the fine structure constant and

n_1

and

n_2

are parabolic quantum numbers. An experimental arrangement is outlined to test this conjecture.

It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function

u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(θϕ) \pm R_{n,n-2}(r) Y_{n-2,\pm (n-2)}(θϕ)]

align themselves in the direction of an external uniform electric field which is characteristic of magneto-electric effect. These states are found to have magnetic charge

g={3n\over (n-2)e}

on account of this effect. This result is confirmed by an independent method. An experiment is suggested to fabricate these states and detect the magnetic charge. It ma be worth noting that inspite of many experimental searchs, magnetic charge, whose existence has been theorized both in electrodynamics and non-abelian gauge theories, none have been found so far, nor there exist any suggstion as to where these are to be found.