Struct Spin 

pub struct Spin { /* private fields */ }

Spin quantum number j (half-integer)

Mathematical Definition

j ∈ {0, 1/2, 1, 3/2, 2, …}

Internally represented as 2j (integer) to avoid floating point.

Physical Meaning

• j = 0: Scalar (spin-0)
• j = 1/2: Spinor (spin-1/2, fermions)
• j = 1: Vector (spin-1, bosons)
• j = n/2: General half-integer spin

Implementations

impl Spin

pub const ZERO: Spin

Spin-0 (scalar, trivial representation)

pub const HALF: Spin

Spin-1/2 (spinor, fundamental representation)

pub const ONE: Spin

Spin-1 (vector, adjoint representation)

pub fn two_j(&self) -> u32

Get the internal 2j representation (useful for pattern matching).

pub fn from_half_integer(two_j: u32) -> Self

Create from half-integer: j = n/2

Examples

• Spin::from_half_integer(0) → j = 0
• Spin::from_half_integer(1) → j = 1/2
• Spin::from_half_integer(2) → j = 1

pub fn from_integer(j: u32) -> Self

Create from integer spin (convenience)

pub fn value(&self) -> f64

Get the spin value as f64: j

pub fn dimension(&self) -> usize

Get dimension of this representation: 2j + 1

pub fn is_integer(&self) -> bool

Check if this is integer spin (boson)

pub fn is_half_integer(&self) -> bool

Check if this is half-integer spin (fermion)

Trait Implementations

impl Clone for Spin

fn clone(&self) -> Spin

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Spin

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Hash for Spin

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl Ord for Spin

fn cmp(&self, other: &Spin) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Spin

fn eq(&self, other: &Spin) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Spin

fn partial_cmp(&self, other: &Spin) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl Copy for Spin

impl Eq for Spin

impl StructuralPartialEq for Spin