Struct J 

pub struct J(/* private fields */);

A non-negative total angular momentum stored as twice its physical value.

This representation keeps integer and half-integer quantum numbers exact. For example, J::half(1) represents $1/2$, and J::int(1) represents $1$.

Implementations

impl J

pub const fn int(value: u32) -> Self

Construct a non-negative integer angular momentum.

pub const fn half(value: u32) -> Self

Construct a non-negative angular momentum from the given numerator over two.

pub fn projections(self) -> Vec<M>

Enumerate the valid signed projections for this angular momentum.

pub const fn doubled(self) -> u32

Return the doubled integer value.

pub const fn multiplicity(self) -> u32

Return the number of projections, $2J + 1$.

pub const fn is_integer(self) -> bool

Return whether this quantum number represents an integer value.

pub fn coupled_with(self, other: Self) -> Vec<Self>

Enumerate the total angular momenta obtainable by coupling this value to other.

Results run from $\lvert J_1 - J_2\rvert$ through $J_1 + J_2$ in unit steps.

pub fn can_couple_to(self, j1: Self, j2: Self) -> bool

Return whether j1 and j2 can couple to produce this angular momentum.

Trait Implementations

impl Add for J

type Output = J

The resulting type after applying the + operator.

fn add(self, rhs: J) -> Self::Output

Performs the + operation.

impl Add<&J> for &J

type Output = J

The resulting type after applying the + operator.

fn add(self, rhs: &J) -> Self::Output

Performs the + operation.

impl Add<&J> for J

type Output = J

The resulting type after applying the + operator.

fn add(self, rhs: &J) -> Self::Output

Performs the + operation.

impl Add<J> for &J

type Output = J

The resulting type after applying the + operator.

fn add(self, rhs: J) -> Self::Output

Performs the + operation.

impl Clone for J

fn clone(&self) -> J

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for J

impl Debug for J

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

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for J

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for J

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

Formats the value using the given formatter.

impl Eq for J

impl From<J> for f32

fn from(value: J) -> Self

Converts to this type from the input type.

impl From<J> for f64

fn from(value: J) -> Self

Converts to this type from the input type.

impl From<J> for Isospin

fn from(value: J) -> Self

Converts to this type from the input type.

impl From<L> for J

fn from(value: L) -> Self

Converts to this type from the input type.

impl Hash for J

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 J

fn cmp(&self, other: &J) -> 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 J

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

Equality operator ==.

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

Inequality operator !=.

impl PartialOrd for J

fn partial_cmp(&self, other: &J) -> 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 Serialize for J

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl StructuralPartialEq for J

impl TryFrom<J> for L

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: J) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<i8>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<i8>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<i16>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<i16>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<i32>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<i32>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<i64>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<i64>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<i128>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<i128>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<isize>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<isize>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<u8>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<u8>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<u16>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<u16>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<u32>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<u32>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<u64>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<u64>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<u128>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<u128>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<Ratio<usize>> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: Ratio<usize>) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<f32> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: f32) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<f64> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: f64) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<i8> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: i8) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<i16> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: i16) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<i32> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: i32) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<i64> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: i64) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<i128> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: i128) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<isize> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: isize) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<u8> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: u8) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<u16> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: u16) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<u32> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: u32) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<u64> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: u64) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<u128> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: u128) -> Result<Self, Self::Error>

Performs the conversion.

impl TryFrom<usize> for J

type Error = LadduPhysicsError

The type returned in the event of a conversion error.

fn try_from(value: usize) -> Result<Self, Self::Error>

Performs the conversion.