Current Search: moving image (x) » Paul A.M. Dirac Papers, 17881999 (x)
Pages


Title

"All given identities are normal": Observations and Identities.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Succession of 6 pages investigating algebraic systems while preserving generality, with an emphasis on identities.

Identifier

FSUDirac_12_3_8

Format

Set of related objects


Title

"For any letter we can substitute throughout the identity any expression containing a new letter...".

Abstract/Description

Writing rules for operations used in algebra problem and writing about their implications; Defining operators and notation for problem and writing about them; Possibly assigned work as the rules are numbered and the work is neat and wellwritten; Back of FSUDirac_12_3_1_0017.

Identifier

FSUDirac_12_3_1_0018

Format

Image (JPEG2000)


Title

"For any letter we can substitute throughout the identity any expression.".

Abstract/Description

Defining rules for certain expressions; Making notes about notation for these certain expressions; Giving examples using θ and ϕ.

Identifier

FSUDirac_12_3_5_0005

Format

Image (JPEG2000)


Title

"If an identity with n letters is to be true…".

Abstract/Description

Writing about mathematical identities and numbers in general; Back of FSUDirac_12_3_1_0018.

Identifier

FSUDirac_12_3_1_0017

Format

Image (JPEG2000)


Title

"mn + 1 = p is a prime…".

Abstract/Description

Apparent scratch work for number theoretical analysis; Possibly continuation of previous problem; Possibly multiple different problems worked on, including m, n, p problem, r, s, p problem, a, b, k problem, etc.

Identifier

FSUDirac_12_1c_0033

Format

Image (JPEG2000)


Title

"n is an odd prime, a, b, c are integers…".

Abstract/Description

Number theoretical analysis with apparent problem statement pertaining to n, a, b, and c; extensive algebra and calculation done with variables x, y, z.

Identifier

FSUDirac_12_1c_0032

Format

Image (JPEG2000)


Title

"s is a power of n".

Abstract/Description

Number theoretical analysis of primes, with apparent aim of solving a problem (number 1 in top right corner could be question number; problem is possibly to prove that s is a power of n, as is concluded in bottom right).

Identifier

FSUDirac_12_1c_0027

Format

Image (JPEG2000)


Title

"The deduction could be written": Continuation of a problem.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Succession of 10 pages with work related to a problem involving a particular algebraic structure (with elements, operations, identities, etc. Final page is an unrelated physics calculation.

Identifier

FSUDirac_12_3_6

Format

Set of related objects


Title

"To obtain a particular case by putting two letters the same.".

Abstract/Description

Continuation of investigating algebraic rules from FSUDirac_12_3_1_0018; adding new rules to change system and analyzing the changes.

Identifier

FSUDirac_12_3_5_0001

Format

Image (JPEG2000)


Title

Aboard America.

Abstract/Description

Dirac wearing a party hat and Manci (on the far left) shown at dinner during a crossing of the Atlantic on board the SS America

Identifier

FSU_Dirac_14_3_S1B14F63_001

Format

Image (JPEG2000)


Title

Abraham Pais, Paul Dirac and E. P. Wigner in receiving line.

Abstract/Description

Photograph taken in Tallahassee, Florida.

Identifier

FSUDirac_s01b14f88

Format

Image (JPEG2000)


Title

Academy of Sciences of Lisbon Award.

Creator

Academia das Ciencias de Lisboa

Abstract/Description

States that the title of "Correspondente" will be conferred upon Paul A. M. Dirac in recognition of his merits.

Date Issued

19530517

Identifier

2709718, s3b4f2

Format

Image (JPEG2000)


Title

Academy of Sciences of Turin Award.

Creator

Accademia delle scienze di Torino

Abstract/Description

Certificate awarding Paul A. M. Dirac with an honorary professorship at the University of Turin, Italy.

Date Issued

19511115

Identifier

s3b4f3, 2709710

Format

Image (JPEG2000)


Title

Aeriel view of Tiananmen Square.

Abstract/Description

Photograph taken at Beijing, China. Handwritten note on back: Peiping, 14715

Identifier

FSUDirac_s01b14f39_003

Format

Image (JPEG2000)


Title

Algebraic manipulations, along with intersecting oval figures (with marked points of intersection).

Abstract/Description

Attempt to rewrite expression involving h, k, n2, n3 in order to substitute into equation with t1, t2, a, b to solve; many drawings of ovals, probably unrelated.

Identifier

FSUDirac_12_1b_0008

Format

Image (JPEG2000)


Title

Algebraic manipulations, doodled on an old stock offer.

Abstract/Description

Algebraic manipulations for a random problem.

Identifier

FSUDirac_12_1b_0005

Format

Image (JPEG2000)


Title

Algebraic manipulations, doodled on top of an old exercise paper.

Abstract/Description

Simple algebraic manipulations, doodled on a sheet used for a different problem (possibly an old exercise paper).

Identifier

FSUDirac_12_1b_0003

Format

Image (JPEG2000)


Title

Alternative Method.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Explanation and calculation of an alternative method for an equation.

Identifier

FSUDirac_s02b17f02a

Format

Document (PDF)


Title

American Academy of Arts and Sciences Award.

Creator

American Academy of Arts and Sciences

Abstract/Description

States that Dirac is a Foreign Honorary Member of the American Academy of Arts and Sciences, but has all of the rights and privileges of a member.

Date Issued

19500510

Identifier

s3b4f6, 2709708

Format

Image (JPEG2000)


Title

Analyses related to cubic and quintic polynomial equations.

Abstract/Description

Assigning values to expansions of quintic expressions in terms of a,b,c,d,e (similar to FSUDirac_12_1e_0001 and FSUDirac_12_1e_0006). Vieta’s formula. Writing quintic formula in terms of x,y,z,r, which are expressions in terms of ad. Rewriting general cubic equation.

Identifier

FSUDirac_12_1e_0008

Format

Set of related objects


Title

Analysis associated with reduced quintic polynomial equation.

Abstract/Description

Equating oneterm expressions in terms of ad and of power five to constants eh and attempt to construct equations of specific forms in terms in eh. Work with reduced quintic polynomial equation equal to zero.

Identifier

FSUDirac_12_1e_0022

Format

Set of related objects


Title

Analysis of a particular quintic polynomial equation.

Abstract/Description

Quintic equation the same as on FSUDirac_12_1d_0027; attempt to find products of expressions αδ that are possibly roots; assignment of constant to represent quotients of form ab/c in terms of ad (linked to FSUDirac_12_1e_0023).

Identifier

FSUDirac_12_1e_0009

Format

Set of related objects


Title

Analysis of cubic, quartic, and quintic expansions.

Abstract/Description

Continuation of combinations of general a, b, c, d with different powers of w (from FSUDirac_12_1d_0023); charts assigning values to different cubic, quartic, and quintic expansions equal to zero; writing general solution of cubic polynomial.

Identifier

FSUDirac_12_1d_0027

Format

Set of related objects


Title

Analysis of factors using modular arithmetic.

Abstract/Description

Number theory analysis of factors using modular arithmetic; Possibly an assigned problem.

Identifier

FSUDirac_12_1c_0022

Format

Image (JPEG2000)


Title

Analysis of primes and factors using modular arithmetic.

Abstract/Description

Further number theoretical analysis of primes and factors of expressions using modular arithmetic.

Identifier

FSUDirac_12_1c_0024

Format

Image (JPEG2000)


Title

Analysis related to solving reduced cubic polynomial equation.

Abstract/Description

Writing sums of terms a through d raised to fractional powers; ω and i also used; solving reduced cubic equation.

Identifier

FSUDirac_12_3_1_0015

Format

Set of related objects


Title

Atomic Space.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Calcuations for Atomic Space. Date range: April 17,1981December 9, 1982.

Identifier

FSUDirac_s02b18f04

Format

Document (PDF)


Title

Attempts to logarithmic and exponential equations.

Abstract/Description

Attempts to solve exponential and logarithmic equations; Possible attempts to match polynomial equations to logarithmic and exponential equations for alternate solution method.

Identifier

FSUDirac_12_1a_0019

Format

Image (JPEG2000)


Title

Axioms for rings.

Abstract/Description

Listing axioms for rings with two operations, addition, denoted by α, and multiplication, denoted by β.

Identifier

FSUDirac_12_3_5_0003

Format

Image (JPEG2000)


Title

Basic Beliefs and Prejudices in Physics.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Handwritten notes on the 1976 Lindau Nobel Laureate lecture in which Dirac explains the prejudices and biases that physicists must face. The lecture also covers theological issues, such as whether or not there is a God.

Date Issued

19760629

Identifier

s02b29f18, 2179024, fsu:200

Format

Document (PDF)


Title

Charles and Betty Dirac with dog.

Identifier

FSUDirac_s01b14f27_001

Format

Image (JPEG2000)


Title

Chinese Physical Society Award.

Creator

Zhongguo wu li xue hui

Abstract/Description

Certificate awarded to Paul A. M. Dirac for being elected an honorary member of the Chinese Physical Society.

Date Issued

19431010

Identifier

s3b4f7, 2709717

Format

Image (JPEG2000)


Title

Circuitry/electricity physics problem.

Abstract/Description

Working on circuitry/electricity physics problem (trying to calculate change in power); Possibly assigned for school.

Identifier

FSUDirac_12_3_5_0006

Format

Image (JPEG2000)


Title

Combinations and permutations (of various number of elements).

Abstract/Description

Listing of combinations of elements AF, with AF in terms of ad. Listing of permutations of five elements chosen from five (similar to FSUDirac_12_1d_0012). Summations of fractions of different denominators in terms of m,n that equal 1. Attempt to sketch graph with at least 6 nodes. Apparent assignment of values 16 to permutations of four elements chosen from four (hard to read).

Identifier

FSUDirac_12_1e_0002

Format

Set of related objects


Title

Comparing coefficients of terms of expansions.

Abstract/Description

Comparison of coefficients of terms in expansions of different summations/products of summations (like FSUDirac_12_1a_0011; FSUDirac_12_1d_0005); writing summations of products as quintic polynomials after substitution; comparison of coefficients of summated expressions up to degree 5 and assignment of values to each equation (e.g. 1, 5, 5. Possibly tied to Galois groups?)

Identifier

FSUDirac_12_1d_0011

Format

Set of related objects


Title

Comparison of coefficients for different summation expansions.

Abstract/Description

Comparison of coefficients of different summation expansions in three variables.

Identifier

FSUDirac_12_1d_0005

Format

Set of related objects


Title

Comparison of coefficients in different expansions.

Abstract/Description

Comparison of coefficients of terms in expansions of different summations/products of summations (like FSUDirac_12_1a_0011; FSUDirac_12_1d_0005); writing summations of products as quintic polynomials after substitution; comparison of coefficients of summated expressions up to degree 5 and assignment of values to each equation (e.g. 1, 5, 5. Possibly connected to Galois groups?)

Identifier

FSUDirac_12_1d_0011_polyeq, fsu:186636

Format

Set of related objects


Title

Comparison of terms in expansion (fourth degree).

Abstract/Description

Comparison of terms in expansion of different combinations of products (usually to fourth degree); Expansions of squares of summations.

Identifier

FSUDirac_12_1a_0009

Format

Set of related objects


Title

Composition of various degreed expressions.

Abstract/Description

Assigning values AF to fiveterm expressions composed of elements ae. Assigning values αε to reducible fourterm expressions composed of elements ae. Expansions of different powers (up to quintic) of expression x in terms of a and b.

Identifier

FSUDirac_12_1e_0001

Format

Set of related objects


Title

The Conditions for Statistical Equilibrium Between Atoms, Electrons and Radiation.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Lecture given at St. John's College, Cambridge. Attached is a letter of request for an appearance by Dirac from the Royal Society in London.

Identifier

FSUDirac_s02b36f4

Format

Document (PDF)


Title

Construction of quintic expressions.

Abstract/Description

Construction of quintic expressions; Comparison of an expression raised to different degrees.

Identifier

FSUDirac_12_1a_0005

Format

Set of related objects


Title

Continued fractional term manipulations & permutations of x and y terms.

Abstract/Description

Continuation of FSUDirac_12_1a_0015 and FSUDirac_12_1a_0016 with composed fraction summation; Comparison between functions at certain points and summations; Matching of given x and y values and counting combinations between them.

Identifier

FSUDirac_12_1a_0017

Format

Image (JPEG2000)


Title

Crowd gathered in front of Paul A. M. Dirac statue for dedication ceremony.

Creator

Dirac, P. A. M. (Paul Adrien Maurice), Florida State University

Date Issued

1989

Identifier

FSU_MSS1989009_002

Format

Image (JPEG2000)


Title

Crowd gathered in front of Paul A. M. Dirac statue for dedication ceremony.

Creator

Dirac, P. A. M. (Paul Adrien Maurice), Florida State University

Date Issued

1989

Identifier

FSU_MSS1989009_001

Format

Image (JPEG2000)


Title

Cubic equation investigation (also includes listing of permutations of five elements).

Abstract/Description

Analysis of cubic equation by substitutions using coefficients; Listing of permutations of five elements chosen from five; Drawing diagrams to represent combinations of five elements AE

Identifier

FSUDirac_12_1a_0021

Format

Set of related objects


Title

The Daily Sketch Award.

Creator

Daily Sketch Publications

Abstract/Description

Diploma of Merit awarded to Paul A.M. Dirac by wellknown tabloid newspaper, the Daily Sketch, for winning the National Scholarship Competition.

Date Issued

191402

Identifier

s3b4f8, 2709722

Format

Image (JPEG2000)


Title

Determining HCFs.

Abstract/Description

Number theoretical analysis; Possibly a continuation of a set of related problems, with potential goal of finding H.C.F.s (number 4 in top right corresponds to numbers in top right of FSUDirac_12_1c_0027, FSUDirac_12_1c_0028 and FSUDirac_12_1c_0034).

Identifier

FSUDirac_12_1c_0029

Format

Image (JPEG2000)


Title

Diagrams for exercises.

Abstract/Description

Diagrams, of unknown origin or relationship.

Identifier

FSUDirac_12_1e_0006

Format

Image (JPEG2000)


Title

Dirac equation.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Relativistic quantum mechanical wave equation formulated by Paul A.M. Dirac in 1928, taken from the blackboard of his former office in the Keen Building on Florida State University's campus. Equation is shown in frame.

Identifier

FSDT2040794a

Format

Image (JPEG2000)


Title

Dissertation of Paul A. M. Dirac for Ph.D. degree.

Creator

Dirac, P. A. M. (Paul Adrien Maurice)

Abstract/Description

Excerpts from the dissertation which Paul A. M. Dirac wrote in order to obtain his Ph. D. from the University of Cambridge. Dirac's dissertation on quantum mechanics includes his notes; a preface; a table of contents; and topics such as algebraic axioms, quantum numbers, and the motion of a particle within a central field.

Date Issued

192605

Identifier

463297204, 353070, FSDT353070, fsu:641

Format

Document (PDF)
Pages